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Finding the Fourth Proportional to 5,733.16, 7,911.56 and 3,215.41

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Solution

The fourth proportional to 5,733.16, 7,911.56 and 3,215.41 is: 4,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.16 : 7,911.56 = 3,215.41 : x
  2. Step 2: Convert to fraction form
    5,733.16/7,911.56 = 3,215.41/x
  3. Step 3: Cross multiply
    5,733.16x = 7,911.56 × 3,215.41
  4. Step 4: Simplify right side
    5,733.16x = 25,438,869.58
  5. Step 5: Solve for x
    x = 25,438,869.58/5,733.16
  6. Step 6: Final answer
    x = 4,437.15

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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.