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Finding the Fourth Proportional to 5,597, 7,724.10 and 3,113

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Solution

The fourth proportional to 5,597, 7,724.10 and 3,113 is: 4,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597 : 7,724.10 = 3,113 : x
  2. Step 2: Convert to fraction form
    5,597/7,724.10 = 3,113/x
  3. Step 3: Cross multiply
    5,597x = 7,724.10 × 3,113
  4. Step 4: Simplify right side
    5,597x = 24,045,123.30
  5. Step 5: Solve for x
    x = 24,045,123.30/5,597
  6. Step 6: Final answer
    x = 4,296.07

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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.