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Finding the Fourth Proportional to 5,494.92, 8,242.46 and 1,598.44

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Solution

The fourth proportional to 5,494.92, 8,242.46 and 1,598.44 is: 2,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.92 : 8,242.46 = 1,598.44 : x
  2. Step 2: Convert to fraction form
    5,494.92/8,242.46 = 1,598.44/x
  3. Step 3: Cross multiply
    5,494.92x = 8,242.46 × 1,598.44
  4. Step 4: Simplify right side
    5,494.92x = 13,175,077.76
  5. Step 5: Solve for x
    x = 13,175,077.76/5,494.92
  6. Step 6: Final answer
    x = 2,397.68

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1.5x scale

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.