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Finding the Fourth Proportional to 3,657.77, 5,488.03 and 2,177.85

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Solution

The fourth proportional to 3,657.77, 5,488.03 and 2,177.85 is: 3,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.77 : 5,488.03 = 2,177.85 : x
  2. Step 2: Convert to fraction form
    3,657.77/5,488.03 = 2,177.85/x
  3. Step 3: Cross multiply
    3,657.77x = 5,488.03 × 2,177.85
  4. Step 4: Simplify right side
    3,657.77x = 11,952,106.14
  5. Step 5: Solve for x
    x = 11,952,106.14/3,657.77
  6. Step 6: Final answer
    x = 3,267.59

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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.