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Finding the Fourth Proportional to 5,807.92, 8,012.01 and 3,449.20

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Solution

The fourth proportional to 5,807.92, 8,012.01 and 3,449.20 is: 4,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.92 : 8,012.01 = 3,449.20 : x
  2. Step 2: Convert to fraction form
    5,807.92/8,012.01 = 3,449.20/x
  3. Step 3: Cross multiply
    5,807.92x = 8,012.01 × 3,449.20
  4. Step 4: Simplify right side
    5,807.92x = 27,635,024.89
  5. Step 5: Solve for x
    x = 27,635,024.89/5,807.92
  6. Step 6: Final answer
    x = 4,758.16

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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.