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Finding the Fourth Proportional to 4,338.78, 5,984.70 and 2,569.08

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Solution

The fourth proportional to 4,338.78, 5,984.70 and 2,569.08 is: 3,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.78 : 5,984.70 = 2,569.08 : x
  2. Step 2: Convert to fraction form
    4,338.78/5,984.70 = 2,569.08/x
  3. Step 3: Cross multiply
    4,338.78x = 5,984.70 × 2,569.08
  4. Step 4: Simplify right side
    4,338.78x = 15,375,173.08
  5. Step 5: Solve for x
    x = 15,375,173.08/4,338.78
  6. Step 6: Final answer
    x = 3,543.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.