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Finding the Fourth Proportional to 3,916.98, 5,405.43 and 2,148.61

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Solution

The fourth proportional to 3,916.98, 5,405.43 and 2,148.61 is: 2,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.98 : 5,405.43 = 2,148.61 : x
  2. Step 2: Convert to fraction form
    3,916.98/5,405.43 = 2,148.61/x
  3. Step 3: Cross multiply
    3,916.98x = 5,405.43 × 2,148.61
  4. Step 4: Simplify right side
    3,916.98x = 11,614,160.95
  5. Step 5: Solve for x
    x = 11,614,160.95/3,916.98
  6. Step 6: Final answer
    x = 2,965.08

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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.