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Finding the Fourth Proportional to 4,876.70, 7,314.08 and 2,243.58

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Solution

The fourth proportional to 4,876.70, 7,314.08 and 2,243.58 is: 3,364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.70 : 7,314.08 = 2,243.58 : x
  2. Step 2: Convert to fraction form
    4,876.70/7,314.08 = 2,243.58/x
  3. Step 3: Cross multiply
    4,876.70x = 7,314.08 × 2,243.58
  4. Step 4: Simplify right side
    4,876.70x = 16,409,723.61
  5. Step 5: Solve for x
    x = 16,409,723.61/4,876.70
  6. Step 6: Final answer
    x = 3,364.92

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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.