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Finding the Fourth Proportional to 3,641.94, 5,461.65 and 2,253.15

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Solution

The fourth proportional to 3,641.94, 5,461.65 and 2,253.15 is: 3,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.94 : 5,461.65 = 2,253.15 : x
  2. Step 2: Convert to fraction form
    3,641.94/5,461.65 = 2,253.15/x
  3. Step 3: Cross multiply
    3,641.94x = 5,461.65 × 2,253.15
  4. Step 4: Simplify right side
    3,641.94x = 12,305,916.70
  5. Step 5: Solve for x
    x = 12,305,916.70/3,641.94
  6. Step 6: Final answer
    x = 3,378.95

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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.