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Finding the Fourth Proportional to 3,909.84, 5,864.94 and 2,177.16

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Solution

The fourth proportional to 3,909.84, 5,864.94 and 2,177.16 is: 3,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.84 : 5,864.94 = 2,177.16 : x
  2. Step 2: Convert to fraction form
    3,909.84/5,864.94 = 2,177.16/x
  3. Step 3: Cross multiply
    3,909.84x = 5,864.94 × 2,177.16
  4. Step 4: Simplify right side
    3,909.84x = 12,768,912.77
  5. Step 5: Solve for x
    x = 12,768,912.77/3,909.84
  6. Step 6: Final answer
    x = 3,265.84

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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.