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Finding the Fourth Proportional to 5,546.85, 7,655.94 and 3,658.77

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Solution

The fourth proportional to 5,546.85, 7,655.94 and 3,658.77 is: 5,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.85 : 7,655.94 = 3,658.77 : x
  2. Step 2: Convert to fraction form
    5,546.85/7,655.94 = 3,658.77/x
  3. Step 3: Cross multiply
    5,546.85x = 7,655.94 × 3,658.77
  4. Step 4: Simplify right side
    5,546.85x = 28,011,323.59
  5. Step 5: Solve for x
    x = 28,011,323.59/5,546.85
  6. Step 6: Final answer
    x = 5,049.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.