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Finding the Fourth Proportional to 4,264.38, 5,854.82 and 4,005.18

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Solution

The fourth proportional to 4,264.38, 5,854.82 and 4,005.18 is: 5,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.38 : 5,854.82 = 4,005.18 : x
  2. Step 2: Convert to fraction form
    4,264.38/5,854.82 = 4,005.18/x
  3. Step 3: Cross multiply
    4,264.38x = 5,854.82 × 4,005.18
  4. Step 4: Simplify right side
    4,264.38x = 23,449,587.94
  5. Step 5: Solve for x
    x = 23,449,587.94/4,264.38
  6. Step 6: Final answer
    x = 5,498.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.