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Finding the Fourth Proportional to 3,708.80, 5,117.16 and 2,137.76

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Solution

The fourth proportional to 3,708.80, 5,117.16 and 2,137.76 is: 2,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.80 : 5,117.16 = 2,137.76 : x
  2. Step 2: Convert to fraction form
    3,708.80/5,117.16 = 2,137.76/x
  3. Step 3: Cross multiply
    3,708.80x = 5,117.16 × 2,137.76
  4. Step 4: Simplify right side
    3,708.80x = 10,939,259.96
  5. Step 5: Solve for x
    x = 10,939,259.96/3,708.80
  6. Step 6: Final answer
    x = 2,949.54

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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.