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Finding the Fourth Proportional to 5,327.52, 7,992.42 and 1,630

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Solution

The fourth proportional to 5,327.52, 7,992.42 and 1,630 is: 2,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.52 : 7,992.42 = 1,630 : x
  2. Step 2: Convert to fraction form
    5,327.52/7,992.42 = 1,630/x
  3. Step 3: Cross multiply
    5,327.52x = 7,992.42 × 1,630
  4. Step 4: Simplify right side
    5,327.52x = 13,027,644.60
  5. Step 5: Solve for x
    x = 13,027,644.60/5,327.52
  6. Step 6: Final answer
    x = 2,445.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.