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Finding the Fourth Proportional to 5,223.75, 7,836.03 and 1,761

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Solution

The fourth proportional to 5,223.75, 7,836.03 and 1,761 is: 2,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.75 : 7,836.03 = 1,761 : x
  2. Step 2: Convert to fraction form
    5,223.75/7,836.03 = 1,761/x
  3. Step 3: Cross multiply
    5,223.75x = 7,836.03 × 1,761
  4. Step 4: Simplify right side
    5,223.75x = 13,799,248.83
  5. Step 5: Solve for x
    x = 13,799,248.83/5,223.75
  6. Step 6: Final answer
    x = 2,641.64

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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.