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Finding the Fourth Proportional to 3,650.09, 5,037 and 2,077.88

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Solution

The fourth proportional to 3,650.09, 5,037 and 2,077.88 is: 2,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.09 : 5,037 = 2,077.88 : x
  2. Step 2: Convert to fraction form
    3,650.09/5,037 = 2,077.88/x
  3. Step 3: Cross multiply
    3,650.09x = 5,037 × 2,077.88
  4. Step 4: Simplify right side
    3,650.09x = 10,466,281.56
  5. Step 5: Solve for x
    x = 10,466,281.56/3,650.09
  6. Step 6: Final answer
    x = 2,867.40

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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.