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Finding the Fourth Proportional to 4,677.52, 6,454.08 and 2,814.64

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Solution

The fourth proportional to 4,677.52, 6,454.08 and 2,814.64 is: 3,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.52 : 6,454.08 = 2,814.64 : x
  2. Step 2: Convert to fraction form
    4,677.52/6,454.08 = 2,814.64/x
  3. Step 3: Cross multiply
    4,677.52x = 6,454.08 × 2,814.64
  4. Step 4: Simplify right side
    4,677.52x = 18,165,911.73
  5. Step 5: Solve for x
    x = 18,165,911.73/4,677.52
  6. Step 6: Final answer
    x = 3,883.66

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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.