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Finding the Fourth Proportional to 5,089.64, 7,633.04 and 1,801.85

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Solution

The fourth proportional to 5,089.64, 7,633.04 and 1,801.85 is: 2,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.64 : 7,633.04 = 1,801.85 : x
  2. Step 2: Convert to fraction form
    5,089.64/7,633.04 = 1,801.85/x
  3. Step 3: Cross multiply
    5,089.64x = 7,633.04 × 1,801.85
  4. Step 4: Simplify right side
    5,089.64x = 13,753,545.95
  5. Step 5: Solve for x
    x = 13,753,545.95/5,089.64
  6. Step 6: Final answer
    x = 2,702.27

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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.