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Finding the Fourth Proportional to 3,543.39, 5,285.19 and 3,077.51

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Solution

The fourth proportional to 3,543.39, 5,285.19 and 3,077.51 is: 4,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.39 : 5,285.19 = 3,077.51 : x
  2. Step 2: Convert to fraction form
    3,543.39/5,285.19 = 3,077.51/x
  3. Step 3: Cross multiply
    3,543.39x = 5,285.19 × 3,077.51
  4. Step 4: Simplify right side
    3,543.39x = 16,265,198.65
  5. Step 5: Solve for x
    x = 16,265,198.65/3,543.39
  6. Step 6: Final answer
    x = 4,590.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.