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Finding the Fourth Proportional to 3,562.76, 5,344.12 and 1,224.40

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Solution

The fourth proportional to 3,562.76, 5,344.12 and 1,224.40 is: 1,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.76 : 5,344.12 = 1,224.40 : x
  2. Step 2: Convert to fraction form
    3,562.76/5,344.12 = 1,224.40/x
  3. Step 3: Cross multiply
    3,562.76x = 5,344.12 × 1,224.40
  4. Step 4: Simplify right side
    3,562.76x = 6,543,340.53
  5. Step 5: Solve for x
    x = 6,543,340.53/3,562.76
  6. Step 6: Final answer
    x = 1,836.59

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1.5x scale

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.