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Finding the Fourth Proportional to 3,461.52, 5,192.30 and 864.46

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Solution

The fourth proportional to 3,461.52, 5,192.30 and 864.46 is: 1,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.52 : 5,192.30 = 864.46 : x
  2. Step 2: Convert to fraction form
    3,461.52/5,192.30 = 864.46/x
  3. Step 3: Cross multiply
    3,461.52x = 5,192.30 × 864.46
  4. Step 4: Simplify right side
    3,461.52x = 4,488,544.31
  5. Step 5: Solve for x
    x = 4,488,544.31/3,461.52
  6. Step 6: Final answer
    x = 1,296.70

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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.