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Finding the Fourth Proportional to 3,182.85, 4,748.43 and 3,010.62

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Solution

The fourth proportional to 3,182.85, 4,748.43 and 3,010.62 is: 4,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.85 : 4,748.43 = 3,010.62 : x
  2. Step 2: Convert to fraction form
    3,182.85/4,748.43 = 3,010.62/x
  3. Step 3: Cross multiply
    3,182.85x = 4,748.43 × 3,010.62
  4. Step 4: Simplify right side
    3,182.85x = 14,295,679.53
  5. Step 5: Solve for x
    x = 14,295,679.53/3,182.85
  6. Step 6: Final answer
    x = 4,491.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.