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Finding the Fourth Proportional to 3,301.85, 4,957.18 and 1,916.18

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Solution

The fourth proportional to 3,301.85, 4,957.18 and 1,916.18 is: 2,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.85 : 4,957.18 = 1,916.18 : x
  2. Step 2: Convert to fraction form
    3,301.85/4,957.18 = 1,916.18/x
  3. Step 3: Cross multiply
    3,301.85x = 4,957.18 × 1,916.18
  4. Step 4: Simplify right side
    3,301.85x = 9,498,865.28
  5. Step 5: Solve for x
    x = 9,498,865.28/3,301.85
  6. Step 6: Final answer
    x = 2,876.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.