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Finding the Fourth Proportional to 5,728.98, 8,593.55 and 1,624.98

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Solution

The fourth proportional to 5,728.98, 8,593.55 and 1,624.98 is: 2,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.98 : 8,593.55 = 1,624.98 : x
  2. Step 2: Convert to fraction form
    5,728.98/8,593.55 = 1,624.98/x
  3. Step 3: Cross multiply
    5,728.98x = 8,593.55 × 1,624.98
  4. Step 4: Simplify right side
    5,728.98x = 13,964,346.88
  5. Step 5: Solve for x
    x = 13,964,346.88/5,728.98
  6. Step 6: Final answer
    x = 2,437.49

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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.