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Finding the Fourth Proportional to 3,854.31, 5,318.95 and 2,085.92

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Solution

The fourth proportional to 3,854.31, 5,318.95 and 2,085.92 is: 2,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.31 : 5,318.95 = 2,085.92 : x
  2. Step 2: Convert to fraction form
    3,854.31/5,318.95 = 2,085.92/x
  3. Step 3: Cross multiply
    3,854.31x = 5,318.95 × 2,085.92
  4. Step 4: Simplify right side
    3,854.31x = 11,094,895.16
  5. Step 5: Solve for x
    x = 11,094,895.16/3,854.31
  6. Step 6: Final answer
    x = 2,878.57

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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.