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Finding the Fourth Proportional to 3,419.96, 4,718.43 and 2,092.28

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Solution

The fourth proportional to 3,419.96, 4,718.43 and 2,092.28 is: 2,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.96 : 4,718.43 = 2,092.28 : x
  2. Step 2: Convert to fraction form
    3,419.96/4,718.43 = 2,092.28/x
  3. Step 3: Cross multiply
    3,419.96x = 4,718.43 × 2,092.28
  4. Step 4: Simplify right side
    3,419.96x = 9,872,253.13
  5. Step 5: Solve for x
    x = 9,872,253.13/3,419.96
  6. Step 6: Final answer
    x = 2,886.66

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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.