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Finding the Fourth Proportional to 3,970.76, 5,957.97 and 2,023.10

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Solution

The fourth proportional to 3,970.76, 5,957.97 and 2,023.10 is: 3,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.76 : 5,957.97 = 2,023.10 : x
  2. Step 2: Convert to fraction form
    3,970.76/5,957.97 = 2,023.10/x
  3. Step 3: Cross multiply
    3,970.76x = 5,957.97 × 2,023.10
  4. Step 4: Simplify right side
    3,970.76x = 12,053,569.11
  5. Step 5: Solve for x
    x = 12,053,569.11/3,970.76
  6. Step 6: Final answer
    x = 3,035.58

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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.