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Finding the Fourth Proportional to 3,118.64, 4,655.14 and 2,749.60

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Solution

The fourth proportional to 3,118.64, 4,655.14 and 2,749.60 is: 4,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.64 : 4,655.14 = 2,749.60 : x
  2. Step 2: Convert to fraction form
    3,118.64/4,655.14 = 2,749.60/x
  3. Step 3: Cross multiply
    3,118.64x = 4,655.14 × 2,749.60
  4. Step 4: Simplify right side
    3,118.64x = 12,799,772.94
  5. Step 5: Solve for x
    x = 12,799,772.94/3,118.64
  6. Step 6: Final answer
    x = 4,104.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.