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Finding the Fourth Proportional to 3,543.85, 4,891.59 and 2,052.14

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Solution

The fourth proportional to 3,543.85, 4,891.59 and 2,052.14 is: 2,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.85 : 4,891.59 = 2,052.14 : x
  2. Step 2: Convert to fraction form
    3,543.85/4,891.59 = 2,052.14/x
  3. Step 3: Cross multiply
    3,543.85x = 4,891.59 × 2,052.14
  4. Step 4: Simplify right side
    3,543.85x = 10,038,203.04
  5. Step 5: Solve for x
    x = 10,038,203.04/3,543.85
  6. Step 6: Final answer
    x = 2,832.57

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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.