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Finding the Fourth Proportional to 5,753.17, 7,938.30 and 3,395.71

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Solution

The fourth proportional to 5,753.17, 7,938.30 and 3,395.71 is: 4,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.17 : 7,938.30 = 3,395.71 : x
  2. Step 2: Convert to fraction form
    5,753.17/7,938.30 = 3,395.71/x
  3. Step 3: Cross multiply
    5,753.17x = 7,938.30 × 3,395.71
  4. Step 4: Simplify right side
    5,753.17x = 26,956,164.69
  5. Step 5: Solve for x
    x = 26,956,164.69/5,753.17
  6. Step 6: Final answer
    x = 4,685.45

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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.