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Finding the Fourth Proportional to 3,848.32, 5,778.24 and 3,713.92

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Solution

The fourth proportional to 3,848.32, 5,778.24 and 3,713.92 is: 5,576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.32 : 5,778.24 = 3,713.92 : x
  2. Step 2: Convert to fraction form
    3,848.32/5,778.24 = 3,713.92/x
  3. Step 3: Cross multiply
    3,848.32x = 5,778.24 × 3,713.92
  4. Step 4: Simplify right side
    3,848.32x = 21,459,921.10
  5. Step 5: Solve for x
    x = 21,459,921.10/3,848.32
  6. Step 6: Final answer
    x = 5,576.44

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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.