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Finding the Fourth Proportional to 5,763.74, 8,646.17 and 1,546.94

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Solution

The fourth proportional to 5,763.74, 8,646.17 and 1,546.94 is: 2,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.74 : 8,646.17 = 1,546.94 : x
  2. Step 2: Convert to fraction form
    5,763.74/8,646.17 = 1,546.94/x
  3. Step 3: Cross multiply
    5,763.74x = 8,646.17 × 1,546.94
  4. Step 4: Simplify right side
    5,763.74x = 13,375,055.25
  5. Step 5: Solve for x
    x = 13,375,055.25/5,763.74
  6. Step 6: Final answer
    x = 2,320.55

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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.