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Finding the Fourth Proportional to 3,479.76, 5,219.61 and 882.90

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Solution

The fourth proportional to 3,479.76, 5,219.61 and 882.90 is: 1,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.76 : 5,219.61 = 882.90 : x
  2. Step 2: Convert to fraction form
    3,479.76/5,219.61 = 882.90/x
  3. Step 3: Cross multiply
    3,479.76x = 5,219.61 × 882.90
  4. Step 4: Simplify right side
    3,479.76x = 4,608,393.67
  5. Step 5: Solve for x
    x = 4,608,393.67/3,479.76
  6. Step 6: Final answer
    x = 1,324.34

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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.