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Finding the Fourth Proportional to 3,663.60, 5,492.70 and 1,581.90

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Solution

The fourth proportional to 3,663.60, 5,492.70 and 1,581.90 is: 2,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.60 : 5,492.70 = 1,581.90 : x
  2. Step 2: Convert to fraction form
    3,663.60/5,492.70 = 1,581.90/x
  3. Step 3: Cross multiply
    3,663.60x = 5,492.70 × 1,581.90
  4. Step 4: Simplify right side
    3,663.60x = 8,688,902.13
  5. Step 5: Solve for x
    x = 8,688,902.13/3,663.60
  6. Step 6: Final answer
    x = 2,371.68

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Why These Related Problems?

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