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Finding the Fourth Proportional to 6,456.80, 8,910.74 and 3,624.02

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Solution

The fourth proportional to 6,456.80, 8,910.74 and 3,624.02 is: 5,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.80 : 8,910.74 = 3,624.02 : x
  2. Step 2: Convert to fraction form
    6,456.80/8,910.74 = 3,624.02/x
  3. Step 3: Cross multiply
    6,456.80x = 8,910.74 × 3,624.02
  4. Step 4: Simplify right side
    6,456.80x = 32,292,637.30
  5. Step 5: Solve for x
    x = 32,292,637.30/6,456.80
  6. Step 6: Final answer
    x = 5,001.34

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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.