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Finding the Fourth Proportional to 5,414.72, 7,473.87 and 3,176.69

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Solution

The fourth proportional to 5,414.72, 7,473.87 and 3,176.69 is: 4,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.72 : 7,473.87 = 3,176.69 : x
  2. Step 2: Convert to fraction form
    5,414.72/7,473.87 = 3,176.69/x
  3. Step 3: Cross multiply
    5,414.72x = 7,473.87 × 3,176.69
  4. Step 4: Simplify right side
    5,414.72x = 23,742,130.72
  5. Step 5: Solve for x
    x = 23,742,130.72/5,414.72
  6. Step 6: Final answer
    x = 4,384.74

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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.