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Finding the Fourth Proportional to 5,326.72, 7,949.04 and 4,678.83

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Solution

The fourth proportional to 5,326.72, 7,949.04 and 4,678.83 is: 6,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.72 : 7,949.04 = 4,678.83 : x
  2. Step 2: Convert to fraction form
    5,326.72/7,949.04 = 4,678.83/x
  3. Step 3: Cross multiply
    5,326.72x = 7,949.04 × 4,678.83
  4. Step 4: Simplify right side
    5,326.72x = 37,192,155.74
  5. Step 5: Solve for x
    x = 37,192,155.74/5,326.72
  6. Step 6: Final answer
    x = 6,982.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.