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Finding the Fourth Proportional to 3,591.76, 5,383.28 and 1,510.96

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Solution

The fourth proportional to 3,591.76, 5,383.28 and 1,510.96 is: 2,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.76 : 5,383.28 = 1,510.96 : x
  2. Step 2: Convert to fraction form
    3,591.76/5,383.28 = 1,510.96/x
  3. Step 3: Cross multiply
    3,591.76x = 5,383.28 × 1,510.96
  4. Step 4: Simplify right side
    3,591.76x = 8,133,920.75
  5. Step 5: Solve for x
    x = 8,133,920.75/3,591.76
  6. Step 6: Final answer
    x = 2,264.61

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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.