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Finding the Fourth Proportional to 5,752.50, 7,938.38 and 3,235.04

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Solution

The fourth proportional to 5,752.50, 7,938.38 and 3,235.04 is: 4,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.50 : 7,938.38 = 3,235.04 : x
  2. Step 2: Convert to fraction form
    5,752.50/7,938.38 = 3,235.04/x
  3. Step 3: Cross multiply
    5,752.50x = 7,938.38 × 3,235.04
  4. Step 4: Simplify right side
    5,752.50x = 25,680,920.97
  5. Step 5: Solve for x
    x = 25,680,920.97/5,752.50
  6. Step 6: Final answer
    x = 4,464.31

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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.