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Finding the Fourth Proportional to 5,638.86, 8,456.40 and 2,306.25

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Solution

The fourth proportional to 5,638.86, 8,456.40 and 2,306.25 is: 3,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.86 : 8,456.40 = 2,306.25 : x
  2. Step 2: Convert to fraction form
    5,638.86/8,456.40 = 2,306.25/x
  3. Step 3: Cross multiply
    5,638.86x = 8,456.40 × 2,306.25
  4. Step 4: Simplify right side
    5,638.86x = 19,502,572.50
  5. Step 5: Solve for x
    x = 19,502,572.50/5,638.86
  6. Step 6: Final answer
    x = 3,458.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.