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Finding the Fourth Proportional to 3,669.30, 5,503.95 and 1,587.85

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Solution

The fourth proportional to 3,669.30, 5,503.95 and 1,587.85 is: 2,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.30 : 5,503.95 = 1,587.85 : x
  2. Step 2: Convert to fraction form
    3,669.30/5,503.95 = 1,587.85/x
  3. Step 3: Cross multiply
    3,669.30x = 5,503.95 × 1,587.85
  4. Step 4: Simplify right side
    3,669.30x = 8,739,464.21
  5. Step 5: Solve for x
    x = 8,739,464.21/3,669.30
  6. Step 6: Final answer
    x = 2,381.78

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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.