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Finding the Fourth Proportional to 4,452.36, 6,143.46 and 2,589

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Solution

The fourth proportional to 4,452.36, 6,143.46 and 2,589 is: 3,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.36 : 6,143.46 = 2,589 : x
  2. Step 2: Convert to fraction form
    4,452.36/6,143.46 = 2,589/x
  3. Step 3: Cross multiply
    4,452.36x = 6,143.46 × 2,589
  4. Step 4: Simplify right side
    4,452.36x = 15,905,417.94
  5. Step 5: Solve for x
    x = 15,905,417.94/4,452.36
  6. Step 6: Final answer
    x = 3,572.36

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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.