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Finding the Fourth Proportional to 5,747.54, 7,931.38 and 3,513.14

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Solution

The fourth proportional to 5,747.54, 7,931.38 and 3,513.14 is: 4,848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.54 : 7,931.38 = 3,513.14 : x
  2. Step 2: Convert to fraction form
    5,747.54/7,931.38 = 3,513.14/x
  3. Step 3: Cross multiply
    5,747.54x = 7,931.38 × 3,513.14
  4. Step 4: Simplify right side
    5,747.54x = 27,864,048.33
  5. Step 5: Solve for x
    x = 27,864,048.33/5,747.54
  6. Step 6: Final answer
    x = 4,848.00

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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.