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Finding the Fourth Proportional to 3,967.29, 5,468.50 and 3,126.60

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Solution

The fourth proportional to 3,967.29, 5,468.50 and 3,126.60 is: 4,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.29 : 5,468.50 = 3,126.60 : x
  2. Step 2: Convert to fraction form
    3,967.29/5,468.50 = 3,126.60/x
  3. Step 3: Cross multiply
    3,967.29x = 5,468.50 × 3,126.60
  4. Step 4: Simplify right side
    3,967.29x = 17,097,812.10
  5. Step 5: Solve for x
    x = 17,097,812.10/3,967.29
  6. Step 6: Final answer
    x = 4,309.70

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