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Finding the Fourth Proportional to 3,711.60, 5,127.38 and 2,964.58

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Solution

The fourth proportional to 3,711.60, 5,127.38 and 2,964.58 is: 4,095.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.60 : 5,127.38 = 2,964.58 : x
  2. Step 2: Convert to fraction form
    3,711.60/5,127.38 = 2,964.58/x
  3. Step 3: Cross multiply
    3,711.60x = 5,127.38 × 2,964.58
  4. Step 4: Simplify right side
    3,711.60x = 15,200,528.20
  5. Step 5: Solve for x
    x = 15,200,528.20/3,711.60
  6. Step 6: Final answer
    x = 4,095.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.