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Finding the Fourth Proportional to 4,153.97, 5,732.12 and 2,385.47

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Solution

The fourth proportional to 4,153.97, 5,732.12 and 2,385.47 is: 3,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.97 : 5,732.12 = 2,385.47 : x
  2. Step 2: Convert to fraction form
    4,153.97/5,732.12 = 2,385.47/x
  3. Step 3: Cross multiply
    4,153.97x = 5,732.12 × 2,385.47
  4. Step 4: Simplify right side
    4,153.97x = 13,673,788.37
  5. Step 5: Solve for x
    x = 13,673,788.37/4,153.97
  6. Step 6: Final answer
    x = 3,291.74

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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.