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Finding the Fourth Proportional to 5,337.74, 8,008.04 and 4,823.66

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Solution

The fourth proportional to 5,337.74, 8,008.04 and 4,823.66 is: 7,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.74 : 8,008.04 = 4,823.66 : x
  2. Step 2: Convert to fraction form
    5,337.74/8,008.04 = 4,823.66/x
  3. Step 3: Cross multiply
    5,337.74x = 8,008.04 × 4,823.66
  4. Step 4: Simplify right side
    5,337.74x = 38,628,034.25
  5. Step 5: Solve for x
    x = 38,628,034.25/5,337.74
  6. Step 6: Final answer
    x = 7,236.78

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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.