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Finding the Fourth Proportional to 6,034.76, 9,032.94 and 3,257.48

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Solution

The fourth proportional to 6,034.76, 9,032.94 and 3,257.48 is: 4,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.76 : 9,032.94 = 3,257.48 : x
  2. Step 2: Convert to fraction form
    6,034.76/9,032.94 = 3,257.48/x
  3. Step 3: Cross multiply
    6,034.76x = 9,032.94 × 3,257.48
  4. Step 4: Simplify right side
    6,034.76x = 29,424,621.39
  5. Step 5: Solve for x
    x = 29,424,621.39/6,034.76
  6. Step 6: Final answer
    x = 4,875.86

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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.