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Finding the Fourth Proportional to 5,731.44, 8,605.13 and 2,960.16

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Solution

The fourth proportional to 5,731.44, 8,605.13 and 2,960.16 is: 4,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.44 : 8,605.13 = 2,960.16 : x
  2. Step 2: Convert to fraction form
    5,731.44/8,605.13 = 2,960.16/x
  3. Step 3: Cross multiply
    5,731.44x = 8,605.13 × 2,960.16
  4. Step 4: Simplify right side
    5,731.44x = 25,472,546.82
  5. Step 5: Solve for x
    x = 25,472,546.82/5,731.44
  6. Step 6: Final answer
    x = 4,444.35

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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.