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Finding the Fourth Proportional to 4,570.38, 6,854.22 and 2,377.92

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Solution

The fourth proportional to 4,570.38, 6,854.22 and 2,377.92 is: 3,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.38 : 6,854.22 = 2,377.92 : x
  2. Step 2: Convert to fraction form
    4,570.38/6,854.22 = 2,377.92/x
  3. Step 3: Cross multiply
    4,570.38x = 6,854.22 × 2,377.92
  4. Step 4: Simplify right side
    4,570.38x = 16,298,786.82
  5. Step 5: Solve for x
    x = 16,298,786.82/4,570.38
  6. Step 6: Final answer
    x = 3,566.18

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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.