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Finding the Fourth Proportional to 5,724.63, 7,897.05 and 4,724.10

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Solution

The fourth proportional to 5,724.63, 7,897.05 and 4,724.10 is: 6,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.63 : 7,897.05 = 4,724.10 : x
  2. Step 2: Convert to fraction form
    5,724.63/7,897.05 = 4,724.10/x
  3. Step 3: Cross multiply
    5,724.63x = 7,897.05 × 4,724.10
  4. Step 4: Simplify right side
    5,724.63x = 37,306,453.91
  5. Step 5: Solve for x
    x = 37,306,453.91/5,724.63
  6. Step 6: Final answer
    x = 6,516.83

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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.