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Finding the Fourth Proportional to 5,242.47, 7,839.41 and 4,059.06

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Solution

The fourth proportional to 5,242.47, 7,839.41 and 4,059.06 is: 6,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.47 : 7,839.41 = 4,059.06 : x
  2. Step 2: Convert to fraction form
    5,242.47/7,839.41 = 4,059.06/x
  3. Step 3: Cross multiply
    5,242.47x = 7,839.41 × 4,059.06
  4. Step 4: Simplify right side
    5,242.47x = 31,820,615.26
  5. Step 5: Solve for x
    x = 31,820,615.26/5,242.47
  6. Step 6: Final answer
    x = 6,069.78

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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.