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Finding the Fourth Proportional to 3,641.80, 5,024.82 and 2,225.38

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Solution

The fourth proportional to 3,641.80, 5,024.82 and 2,225.38 is: 3,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.80 : 5,024.82 = 2,225.38 : x
  2. Step 2: Convert to fraction form
    3,641.80/5,024.82 = 2,225.38/x
  3. Step 3: Cross multiply
    3,641.80x = 5,024.82 × 2,225.38
  4. Step 4: Simplify right side
    3,641.80x = 11,182,133.93
  5. Step 5: Solve for x
    x = 11,182,133.93/3,641.80
  6. Step 6: Final answer
    x = 3,070.50

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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.