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Finding the Fourth Proportional to 3,543.38, 4,890.16 and 1,971.77

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Solution

The fourth proportional to 3,543.38, 4,890.16 and 1,971.77 is: 2,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.38 : 4,890.16 = 1,971.77 : x
  2. Step 2: Convert to fraction form
    3,543.38/4,890.16 = 1,971.77/x
  3. Step 3: Cross multiply
    3,543.38x = 4,890.16 × 1,971.77
  4. Step 4: Simplify right side
    3,543.38x = 9,642,270.78
  5. Step 5: Solve for x
    x = 9,642,270.78/3,543.38
  6. Step 6: Final answer
    x = 2,721.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.