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Finding the Fourth Proportional to 6,456.40, 8,910.50 and 3,624.20

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Solution

The fourth proportional to 6,456.40, 8,910.50 and 3,624.20 is: 5,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.40 : 8,910.50 = 3,624.20 : x
  2. Step 2: Convert to fraction form
    6,456.40/8,910.50 = 3,624.20/x
  3. Step 3: Cross multiply
    6,456.40x = 8,910.50 × 3,624.20
  4. Step 4: Simplify right side
    6,456.40x = 32,293,434.10
  5. Step 5: Solve for x
    x = 32,293,434.10/6,456.40
  6. Step 6: Final answer
    x = 5,001.77

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