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Finding the Fourth Proportional to 5,765.18, 7,959.47 and 3,750.50

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Solution

The fourth proportional to 5,765.18, 7,959.47 and 3,750.50 is: 5,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.18 : 7,959.47 = 3,750.50 : x
  2. Step 2: Convert to fraction form
    5,765.18/7,959.47 = 3,750.50/x
  3. Step 3: Cross multiply
    5,765.18x = 7,959.47 × 3,750.50
  4. Step 4: Simplify right side
    5,765.18x = 29,851,993.38
  5. Step 5: Solve for x
    x = 29,851,993.38/5,765.18
  6. Step 6: Final answer
    x = 5,177.99

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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.