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Finding the Fourth Proportional to 5,833.28, 8,048.64 and 3,945.14

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Solution

The fourth proportional to 5,833.28, 8,048.64 and 3,945.14 is: 5,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.28 : 8,048.64 = 3,945.14 : x
  2. Step 2: Convert to fraction form
    5,833.28/8,048.64 = 3,945.14/x
  3. Step 3: Cross multiply
    5,833.28x = 8,048.64 × 3,945.14
  4. Step 4: Simplify right side
    5,833.28x = 31,753,011.61
  5. Step 5: Solve for x
    x = 31,753,011.61/5,833.28
  6. Step 6: Final answer
    x = 5,443.42

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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.