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Finding the Fourth Proportional to 5,172.29, 7,753.82 and 4,301.93

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Solution

The fourth proportional to 5,172.29, 7,753.82 and 4,301.93 is: 6,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.29 : 7,753.82 = 4,301.93 : x
  2. Step 2: Convert to fraction form
    5,172.29/7,753.82 = 4,301.93/x
  3. Step 3: Cross multiply
    5,172.29x = 7,753.82 × 4,301.93
  4. Step 4: Simplify right side
    5,172.29x = 33,356,390.34
  5. Step 5: Solve for x
    x = 33,356,390.34/5,172.29
  6. Step 6: Final answer
    x = 6,449.06

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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.