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Finding the Fourth Proportional to 3,479.16, 5,218.83 and 882.30

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Solution

The fourth proportional to 3,479.16, 5,218.83 and 882.30 is: 1,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.16 : 5,218.83 = 882.30 : x
  2. Step 2: Convert to fraction form
    3,479.16/5,218.83 = 882.30/x
  3. Step 3: Cross multiply
    3,479.16x = 5,218.83 × 882.30
  4. Step 4: Simplify right side
    3,479.16x = 4,604,573.71
  5. Step 5: Solve for x
    x = 4,604,573.71/3,479.16
  6. Step 6: Final answer
    x = 1,323.47

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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.