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Finding the Fourth Proportional to 5,242.71, 7,857.15 and 2,465.60

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Solution

The fourth proportional to 5,242.71, 7,857.15 and 2,465.60 is: 3,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.71 : 7,857.15 = 2,465.60 : x
  2. Step 2: Convert to fraction form
    5,242.71/7,857.15 = 2,465.60/x
  3. Step 3: Cross multiply
    5,242.71x = 7,857.15 × 2,465.60
  4. Step 4: Simplify right side
    5,242.71x = 19,372,549.75
  5. Step 5: Solve for x
    x = 19,372,549.75/5,242.71
  6. Step 6: Final answer
    x = 3,695.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.