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Finding the Fourth Proportional to 3,464.52, 4,780.98 and 2,286.42

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Solution

The fourth proportional to 3,464.52, 4,780.98 and 2,286.42 is: 3,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.52 : 4,780.98 = 2,286.42 : x
  2. Step 2: Convert to fraction form
    3,464.52/4,780.98 = 2,286.42/x
  3. Step 3: Cross multiply
    3,464.52x = 4,780.98 × 2,286.42
  4. Step 4: Simplify right side
    3,464.52x = 10,931,328.29
  5. Step 5: Solve for x
    x = 10,931,328.29/3,464.52
  6. Step 6: Final answer
    x = 3,155.22

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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.