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Finding the Fourth Proportional to 5,773.56, 8,660.76 and 1,972.68

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Solution

The fourth proportional to 5,773.56, 8,660.76 and 1,972.68 is: 2,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.56 : 8,660.76 = 1,972.68 : x
  2. Step 2: Convert to fraction form
    5,773.56/8,660.76 = 1,972.68/x
  3. Step 3: Cross multiply
    5,773.56x = 8,660.76 × 1,972.68
  4. Step 4: Simplify right side
    5,773.56x = 17,084,908.04
  5. Step 5: Solve for x
    x = 17,084,908.04/5,773.56
  6. Step 6: Final answer
    x = 2,959.16

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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.