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Finding the Fourth Proportional to 3,534.09, 4,876.09 and 2,117.40

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Solution

The fourth proportional to 3,534.09, 4,876.09 and 2,117.40 is: 2,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.09 : 4,876.09 = 2,117.40 : x
  2. Step 2: Convert to fraction form
    3,534.09/4,876.09 = 2,117.40/x
  3. Step 3: Cross multiply
    3,534.09x = 4,876.09 × 2,117.40
  4. Step 4: Simplify right side
    3,534.09x = 10,324,632.97
  5. Step 5: Solve for x
    x = 10,324,632.97/3,534.09
  6. Step 6: Final answer
    x = 2,921.44

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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.