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Finding the Fourth Proportional to 6,456.38, 8,910.88 and 3,663.50

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Solution

The fourth proportional to 6,456.38, 8,910.88 and 3,663.50 is: 5,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.38 : 8,910.88 = 3,663.50 : x
  2. Step 2: Convert to fraction form
    6,456.38/8,910.88 = 3,663.50/x
  3. Step 3: Cross multiply
    6,456.38x = 8,910.88 × 3,663.50
  4. Step 4: Simplify right side
    6,456.38x = 32,644,955.17
  5. Step 5: Solve for x
    x = 32,644,955.17/6,456.38
  6. Step 6: Final answer
    x = 5,056.24

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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.