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Finding the Fourth Proportional to 5,493.52, 8,240.36 and 1,598.32

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Solution

The fourth proportional to 5,493.52, 8,240.36 and 1,598.32 is: 2,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.52 : 8,240.36 = 1,598.32 : x
  2. Step 2: Convert to fraction form
    5,493.52/8,240.36 = 1,598.32/x
  3. Step 3: Cross multiply
    5,493.52x = 8,240.36 × 1,598.32
  4. Step 4: Simplify right side
    5,493.52x = 13,170,732.20
  5. Step 5: Solve for x
    x = 13,170,732.20/5,493.52
  6. Step 6: Final answer
    x = 2,397.50

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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.