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Finding the Fourth Proportional to 3,900.02, 5,380.02 and 2,641.13

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Solution

The fourth proportional to 3,900.02, 5,380.02 and 2,641.13 is: 3,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.02 : 5,380.02 = 2,641.13 : x
  2. Step 2: Convert to fraction form
    3,900.02/5,380.02 = 2,641.13/x
  3. Step 3: Cross multiply
    3,900.02x = 5,380.02 × 2,641.13
  4. Step 4: Simplify right side
    3,900.02x = 14,209,332.22
  5. Step 5: Solve for x
    x = 14,209,332.22/3,900.02
  6. Step 6: Final answer
    x = 3,643.40

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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.