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Finding the Fourth Proportional to 3,498.64, 5,247.88 and 866.04

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Solution

The fourth proportional to 3,498.64, 5,247.88 and 866.04 is: 1,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.64 : 5,247.88 = 866.04 : x
  2. Step 2: Convert to fraction form
    3,498.64/5,247.88 = 866.04/x
  3. Step 3: Cross multiply
    3,498.64x = 5,247.88 × 866.04
  4. Step 4: Simplify right side
    3,498.64x = 4,544,874.00
  5. Step 5: Solve for x
    x = 4,544,874.00/3,498.64
  6. Step 6: Final answer
    x = 1,299.04

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Why These Related Problems?

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