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Finding the Fourth Proportional to 5,296.08, 7,306.56 and 3,407.44

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Solution

The fourth proportional to 5,296.08, 7,306.56 and 3,407.44 is: 4,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.08 : 7,306.56 = 3,407.44 : x
  2. Step 2: Convert to fraction form
    5,296.08/7,306.56 = 3,407.44/x
  3. Step 3: Cross multiply
    5,296.08x = 7,306.56 × 3,407.44
  4. Step 4: Simplify right side
    5,296.08x = 24,896,664.81
  5. Step 5: Solve for x
    x = 24,896,664.81/5,296.08
  6. Step 6: Final answer
    x = 4,700.96

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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.