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Finding the Fourth Proportional to 5,386.24, 7,432.16 and 3,027.92

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Solution

The fourth proportional to 5,386.24, 7,432.16 and 3,027.92 is: 4,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.24 : 7,432.16 = 3,027.92 : x
  2. Step 2: Convert to fraction form
    5,386.24/7,432.16 = 3,027.92/x
  3. Step 3: Cross multiply
    5,386.24x = 7,432.16 × 3,027.92
  4. Step 4: Simplify right side
    5,386.24x = 22,503,985.91
  5. Step 5: Solve for x
    x = 22,503,985.91/5,386.24
  6. Step 6: Final answer
    x = 4,178.05

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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.