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Finding the Fourth Proportional to 5,496.60, 8,242.50 and 1,600.92

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Solution

The fourth proportional to 5,496.60, 8,242.50 and 1,600.92 is: 2,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.60 : 8,242.50 = 1,600.92 : x
  2. Step 2: Convert to fraction form
    5,496.60/8,242.50 = 1,600.92/x
  3. Step 3: Cross multiply
    5,496.60x = 8,242.50 × 1,600.92
  4. Step 4: Simplify right side
    5,496.60x = 13,195,583.10
  5. Step 5: Solve for x
    x = 13,195,583.10/5,496.60
  6. Step 6: Final answer
    x = 2,400.68

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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.