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Finding the Fourth Proportional to 3,589.68, 4,954.88 and 2,097.04

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Solution

The fourth proportional to 3,589.68, 4,954.88 and 2,097.04 is: 2,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.68 : 4,954.88 = 2,097.04 : x
  2. Step 2: Convert to fraction form
    3,589.68/4,954.88 = 2,097.04/x
  3. Step 3: Cross multiply
    3,589.68x = 4,954.88 × 2,097.04
  4. Step 4: Simplify right side
    3,589.68x = 10,390,581.56
  5. Step 5: Solve for x
    x = 10,390,581.56/3,589.68
  6. Step 6: Final answer
    x = 2,894.57

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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.