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Finding the Fourth Proportional to 5,767.29, 7,959.27 and 3,215.45

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Solution

The fourth proportional to 5,767.29, 7,959.27 and 3,215.45 is: 4,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.29 : 7,959.27 = 3,215.45 : x
  2. Step 2: Convert to fraction form
    5,767.29/7,959.27 = 3,215.45/x
  3. Step 3: Cross multiply
    5,767.29x = 7,959.27 × 3,215.45
  4. Step 4: Simplify right side
    5,767.29x = 25,592,594.93
  5. Step 5: Solve for x
    x = 25,592,594.93/5,767.29
  6. Step 6: Final answer
    x = 4,437.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.