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Finding the Fourth Proportional to 4,677.97, 6,455.42 and 2,582.05

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Solution

The fourth proportional to 4,677.97, 6,455.42 and 2,582.05 is: 3,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.97 : 6,455.42 = 2,582.05 : x
  2. Step 2: Convert to fraction form
    4,677.97/6,455.42 = 2,582.05/x
  3. Step 3: Cross multiply
    4,677.97x = 6,455.42 × 2,582.05
  4. Step 4: Simplify right side
    4,677.97x = 16,668,217.21
  5. Step 5: Solve for x
    x = 16,668,217.21/4,677.97
  6. Step 6: Final answer
    x = 3,563.13

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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.