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Finding the Fourth Proportional to 5,369.76, 7,414.56 and 4,407.36

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Solution

The fourth proportional to 5,369.76, 7,414.56 and 4,407.36 is: 6,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.76 : 7,414.56 = 4,407.36 : x
  2. Step 2: Convert to fraction form
    5,369.76/7,414.56 = 4,407.36/x
  3. Step 3: Cross multiply
    5,369.76x = 7,414.56 × 4,407.36
  4. Step 4: Simplify right side
    5,369.76x = 32,678,635.16
  5. Step 5: Solve for x
    x = 32,678,635.16/5,369.76
  6. Step 6: Final answer
    x = 6,085.68

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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.