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Finding the Fourth Proportional to 3,689.64, 5,091.28 and 2,117.76

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Solution

The fourth proportional to 3,689.64, 5,091.28 and 2,117.76 is: 2,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.64 : 5,091.28 = 2,117.76 : x
  2. Step 2: Convert to fraction form
    3,689.64/5,091.28 = 2,117.76/x
  3. Step 3: Cross multiply
    3,689.64x = 5,091.28 × 2,117.76
  4. Step 4: Simplify right side
    3,689.64x = 10,782,109.13
  5. Step 5: Solve for x
    x = 10,782,109.13/3,689.64
  6. Step 6: Final answer
    x = 2,922.27

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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.