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Finding the Fourth Proportional to 5,381.60, 8,073.60 and 4,215.20

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Solution

The fourth proportional to 5,381.60, 8,073.60 and 4,215.20 is: 6,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.60 : 8,073.60 = 4,215.20 : x
  2. Step 2: Convert to fraction form
    5,381.60/8,073.60 = 4,215.20/x
  3. Step 3: Cross multiply
    5,381.60x = 8,073.60 × 4,215.20
  4. Step 4: Simplify right side
    5,381.60x = 34,031,838.72
  5. Step 5: Solve for x
    x = 34,031,838.72/5,381.60
  6. Step 6: Final answer
    x = 6,323.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.