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Finding the Fourth Proportional to 4,003.52, 6,005.68 and 1,663.04

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Solution

The fourth proportional to 4,003.52, 6,005.68 and 1,663.04 is: 2,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.52 : 6,005.68 = 1,663.04 : x
  2. Step 2: Convert to fraction form
    4,003.52/6,005.68 = 1,663.04/x
  3. Step 3: Cross multiply
    4,003.52x = 6,005.68 × 1,663.04
  4. Step 4: Simplify right side
    4,003.52x = 9,987,686.07
  5. Step 5: Solve for x
    x = 9,987,686.07/4,003.52
  6. Step 6: Final answer
    x = 2,494.73

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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.