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Finding the Fourth Proportional to 3,245.47, 4,868.30 and 1,466.71

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Solution

The fourth proportional to 3,245.47, 4,868.30 and 1,466.71 is: 2,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.47 : 4,868.30 = 1,466.71 : x
  2. Step 2: Convert to fraction form
    3,245.47/4,868.30 = 1,466.71/x
  3. Step 3: Cross multiply
    3,245.47x = 4,868.30 × 1,466.71
  4. Step 4: Simplify right side
    3,245.47x = 7,140,375.79
  5. Step 5: Solve for x
    x = 7,140,375.79/3,245.47
  6. Step 6: Final answer
    x = 2,200.11

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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.