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Finding the Fourth Proportional to 5,599.70, 8,397.44 and 1,649.88

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Solution

The fourth proportional to 5,599.70, 8,397.44 and 1,649.88 is: 2,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.70 : 8,397.44 = 1,649.88 : x
  2. Step 2: Convert to fraction form
    5,599.70/8,397.44 = 1,649.88/x
  3. Step 3: Cross multiply
    5,599.70x = 8,397.44 × 1,649.88
  4. Step 4: Simplify right side
    5,599.70x = 13,854,768.31
  5. Step 5: Solve for x
    x = 13,854,768.31/5,599.70
  6. Step 6: Final answer
    x = 2,474.20

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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.