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Finding the Fourth Proportional to 3,653, 5,045.46 and 2,472.02

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Solution

The fourth proportional to 3,653, 5,045.46 and 2,472.02 is: 3,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653 : 5,045.46 = 2,472.02 : x
  2. Step 2: Convert to fraction form
    3,653/5,045.46 = 2,472.02/x
  3. Step 3: Cross multiply
    3,653x = 5,045.46 × 2,472.02
  4. Step 4: Simplify right side
    3,653x = 12,472,478.03
  5. Step 5: Solve for x
    x = 12,472,478.03/3,653
  6. Step 6: Final answer
    x = 3,414.31

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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.