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Finding the Fourth Proportional to 5,538.30, 8,312.16 and 2,764.15

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Solution

The fourth proportional to 5,538.30, 8,312.16 and 2,764.15 is: 4,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.30 : 8,312.16 = 2,764.15 : x
  2. Step 2: Convert to fraction form
    5,538.30/8,312.16 = 2,764.15/x
  3. Step 3: Cross multiply
    5,538.30x = 8,312.16 × 2,764.15
  4. Step 4: Simplify right side
    5,538.30x = 22,976,057.06
  5. Step 5: Solve for x
    x = 22,976,057.06/5,538.30
  6. Step 6: Final answer
    x = 4,148.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.