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Finding the Fourth Proportional to 6,588.78, 9,873.69 and 2,839.53

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Solution

The fourth proportional to 6,588.78, 9,873.69 and 2,839.53 is: 4,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.78 : 9,873.69 = 2,839.53 : x
  2. Step 2: Convert to fraction form
    6,588.78/9,873.69 = 2,839.53/x
  3. Step 3: Cross multiply
    6,588.78x = 9,873.69 × 2,839.53
  4. Step 4: Simplify right side
    6,588.78x = 28,036,638.97
  5. Step 5: Solve for x
    x = 28,036,638.97/6,588.78
  6. Step 6: Final answer
    x = 4,255.21

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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.