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Finding the Fourth Proportional to 5,100.71, 7,644.59 and 2,328.89

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Solution

The fourth proportional to 5,100.71, 7,644.59 and 2,328.89 is: 3,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.71 : 7,644.59 = 2,328.89 : x
  2. Step 2: Convert to fraction form
    5,100.71/7,644.59 = 2,328.89/x
  3. Step 3: Cross multiply
    5,100.71x = 7,644.59 × 2,328.89
  4. Step 4: Simplify right side
    5,100.71x = 17,803,397.56
  5. Step 5: Solve for x
    x = 17,803,397.56/5,100.71
  6. Step 6: Final answer
    x = 3,490.38

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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.