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Finding the Fourth Proportional to 3,970.92, 5,957.76 and 2,414.08

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Solution

The fourth proportional to 3,970.92, 5,957.76 and 2,414.08 is: 3,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.92 : 5,957.76 = 2,414.08 : x
  2. Step 2: Convert to fraction form
    3,970.92/5,957.76 = 2,414.08/x
  3. Step 3: Cross multiply
    3,970.92x = 5,957.76 × 2,414.08
  4. Step 4: Simplify right side
    3,970.92x = 14,382,509.26
  5. Step 5: Solve for x
    x = 14,382,509.26/3,970.92
  6. Step 6: Final answer
    x = 3,621.96

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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.