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Finding the Fourth Proportional to 4,677.40, 6,454.67 and 2,687.92

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Solution

The fourth proportional to 4,677.40, 6,454.67 and 2,687.92 is: 3,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.40 : 6,454.67 = 2,687.92 : x
  2. Step 2: Convert to fraction form
    4,677.40/6,454.67 = 2,687.92/x
  3. Step 3: Cross multiply
    4,677.40x = 6,454.67 × 2,687.92
  4. Step 4: Simplify right side
    4,677.40x = 17,349,636.59
  5. Step 5: Solve for x
    x = 17,349,636.59/4,677.40
  6. Step 6: Final answer
    x = 3,709.25

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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.