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Finding the Fourth Proportional to 3,877.65, 5,354.39 and 3,596.25

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Solution

The fourth proportional to 3,877.65, 5,354.39 and 3,596.25 is: 4,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.65 : 5,354.39 = 3,596.25 : x
  2. Step 2: Convert to fraction form
    3,877.65/5,354.39 = 3,596.25/x
  3. Step 3: Cross multiply
    3,877.65x = 5,354.39 × 3,596.25
  4. Step 4: Simplify right side
    3,877.65x = 19,255,718.93
  5. Step 5: Solve for x
    x = 19,255,718.93/3,877.65
  6. Step 6: Final answer
    x = 4,965.82

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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.