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Finding the Fourth Proportional to 3,511.85, 4,845.71 and 2,269.13

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Solution

The fourth proportional to 3,511.85, 4,845.71 and 2,269.13 is: 3,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.85 : 4,845.71 = 2,269.13 : x
  2. Step 2: Convert to fraction form
    3,511.85/4,845.71 = 2,269.13/x
  3. Step 3: Cross multiply
    3,511.85x = 4,845.71 × 2,269.13
  4. Step 4: Simplify right side
    3,511.85x = 10,995,527.38
  5. Step 5: Solve for x
    x = 10,995,527.38/3,511.85
  6. Step 6: Final answer
    x = 3,130.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.