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Finding the Fourth Proportional to 5,598.52, 8,396.43 and 1,648.70

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Solution

The fourth proportional to 5,598.52, 8,396.43 and 1,648.70 is: 2,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.52 : 8,396.43 = 1,648.70 : x
  2. Step 2: Convert to fraction form
    5,598.52/8,396.43 = 1,648.70/x
  3. Step 3: Cross multiply
    5,598.52x = 8,396.43 × 1,648.70
  4. Step 4: Simplify right side
    5,598.52x = 13,843,177.46
  5. Step 5: Solve for x
    x = 13,843,177.46/5,598.52
  6. Step 6: Final answer
    x = 2,472.65

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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.