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Finding the Fourth Proportional to 3,763.11, 5,644.69 and 1,543.16

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Solution

The fourth proportional to 3,763.11, 5,644.69 and 1,543.16 is: 2,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.11 : 5,644.69 = 1,543.16 : x
  2. Step 2: Convert to fraction form
    3,763.11/5,644.69 = 1,543.16/x
  3. Step 3: Cross multiply
    3,763.11x = 5,644.69 × 1,543.16
  4. Step 4: Simplify right side
    3,763.11x = 8,710,659.82
  5. Step 5: Solve for x
    x = 8,710,659.82/3,763.11
  6. Step 6: Final answer
    x = 2,314.75

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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.