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Finding the Fourth Proportional to 3,543.66, 4,890.42 and 2,051.82

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Solution

The fourth proportional to 3,543.66, 4,890.42 and 2,051.82 is: 2,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.66 : 4,890.42 = 2,051.82 : x
  2. Step 2: Convert to fraction form
    3,543.66/4,890.42 = 2,051.82/x
  3. Step 3: Cross multiply
    3,543.66x = 4,890.42 × 2,051.82
  4. Step 4: Simplify right side
    3,543.66x = 10,034,261.56
  5. Step 5: Solve for x
    x = 10,034,261.56/3,543.66
  6. Step 6: Final answer
    x = 2,831.61

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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.