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Finding the Fourth Proportional to 3,482.96, 4,807.25 and 2,407.74

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Solution

The fourth proportional to 3,482.96, 4,807.25 and 2,407.74 is: 3,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.96 : 4,807.25 = 2,407.74 : x
  2. Step 2: Convert to fraction form
    3,482.96/4,807.25 = 2,407.74/x
  3. Step 3: Cross multiply
    3,482.96x = 4,807.25 × 2,407.74
  4. Step 4: Simplify right side
    3,482.96x = 11,574,596.08
  5. Step 5: Solve for x
    x = 11,574,596.08/3,482.96
  6. Step 6: Final answer
    x = 3,323.21

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1.5x scale

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.