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Finding the Fourth Proportional to 3,641.80, 4,920.75 and 3,641.80

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Solution

The fourth proportional to 3,641.80, 4,920.75 and 3,641.80 is: 4,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.80 : 4,920.75 = 3,641.80 : x
  2. Step 2: Convert to fraction form
    3,641.80/4,920.75 = 3,641.80/x
  3. Step 3: Cross multiply
    3,641.80x = 4,920.75 × 3,641.80
  4. Step 4: Simplify right side
    3,641.80x = 17,920,387.35
  5. Step 5: Solve for x
    x = 17,920,387.35/3,641.80
  6. Step 6: Final answer
    x = 4,920.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.