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Finding the Fourth Proportional to 4,302, 5,937.24 and 2,439.60

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Solution

The fourth proportional to 4,302, 5,937.24 and 2,439.60 is: 3,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302 : 5,937.24 = 2,439.60 : x
  2. Step 2: Convert to fraction form
    4,302/5,937.24 = 2,439.60/x
  3. Step 3: Cross multiply
    4,302x = 5,937.24 × 2,439.60
  4. Step 4: Simplify right side
    4,302x = 14,484,490.70
  5. Step 5: Solve for x
    x = 14,484,490.70/4,302
  6. Step 6: Final answer
    x = 3,366.92

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1.5x scale

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.