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Finding the Fourth Proportional to 3,766,482.88, 5,197,685.16 and 2,047,646.32

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Solution

The fourth proportional to 3,766,482.88, 5,197,685.16 and 2,047,646.32 is: 2,825,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766,482.88 : 5,197,685.16 = 2,047,646.32 : x
  2. Step 2: Convert to fraction form
    3,766,482.88/5,197,685.16 = 2,047,646.32/x
  3. Step 3: Cross multiply
    3,766,482.88x = 5,197,685.16 × 2,047,646.32
  4. Step 4: Simplify right side
    3,766,482.88x = 10,643,020,890,392.61
  5. Step 5: Solve for x
    x = 10,643,020,890,392.61/3,766,482.88
  6. Step 6: Final answer
    x = 2,825,718.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.