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Finding the Fourth Proportional to 5,766.39, 8,645.40 and 2,017.58

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Solution

The fourth proportional to 5,766.39, 8,645.40 and 2,017.58 is: 3,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.39 : 8,645.40 = 2,017.58 : x
  2. Step 2: Convert to fraction form
    5,766.39/8,645.40 = 2,017.58/x
  3. Step 3: Cross multiply
    5,766.39x = 8,645.40 × 2,017.58
  4. Step 4: Simplify right side
    5,766.39x = 17,442,742.91
  5. Step 5: Solve for x
    x = 17,442,742.91/5,766.39
  6. Step 6: Final answer
    x = 3,024.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.