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Finding the Fourth Proportional to 5,363.60, 7,401.72 and 3,005.76

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Solution

The fourth proportional to 5,363.60, 7,401.72 and 3,005.76 is: 4,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.60 : 7,401.72 = 3,005.76 : x
  2. Step 2: Convert to fraction form
    5,363.60/7,401.72 = 3,005.76/x
  3. Step 3: Cross multiply
    5,363.60x = 7,401.72 × 3,005.76
  4. Step 4: Simplify right side
    5,363.60x = 22,247,793.91
  5. Step 5: Solve for x
    x = 22,247,793.91/5,363.60
  6. Step 6: Final answer
    x = 4,147.92

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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.