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Finding the Fourth Proportional to 6,472.52, 8,932.14 and 3,678.04

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Solution

The fourth proportional to 6,472.52, 8,932.14 and 3,678.04 is: 5,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.52 : 8,932.14 = 3,678.04 : x
  2. Step 2: Convert to fraction form
    6,472.52/8,932.14 = 3,678.04/x
  3. Step 3: Cross multiply
    6,472.52x = 8,932.14 × 3,678.04
  4. Step 4: Simplify right side
    6,472.52x = 32,852,768.21
  5. Step 5: Solve for x
    x = 32,852,768.21/6,472.52
  6. Step 6: Final answer
    x = 5,075.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.