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Finding the Fourth Proportional to 5,610.32, 7,742.27 and 3,219.65

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Solution

The fourth proportional to 5,610.32, 7,742.27 and 3,219.65 is: 4,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.32 : 7,742.27 = 3,219.65 : x
  2. Step 2: Convert to fraction form
    5,610.32/7,742.27 = 3,219.65/x
  3. Step 3: Cross multiply
    5,610.32x = 7,742.27 × 3,219.65
  4. Step 4: Simplify right side
    5,610.32x = 24,927,344.80
  5. Step 5: Solve for x
    x = 24,927,344.80/5,610.32
  6. Step 6: Final answer
    x = 4,443.13

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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.