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Finding the Fourth Proportional to 3,641.63, 5,027.36 and 2,452.87

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Solution

The fourth proportional to 3,641.63, 5,027.36 and 2,452.87 is: 3,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.63 : 5,027.36 = 2,452.87 : x
  2. Step 2: Convert to fraction form
    3,641.63/5,027.36 = 2,452.87/x
  3. Step 3: Cross multiply
    3,641.63x = 5,027.36 × 2,452.87
  4. Step 4: Simplify right side
    3,641.63x = 12,331,460.52
  5. Step 5: Solve for x
    x = 12,331,460.52/3,641.63
  6. Step 6: Final answer
    x = 3,386.25

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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.