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Finding the Fourth Proportional to 3,543.63, 4,890.43 and 2,052.02

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Solution

The fourth proportional to 3,543.63, 4,890.43 and 2,052.02 is: 2,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.63 : 4,890.43 = 2,052.02 : x
  2. Step 2: Convert to fraction form
    3,543.63/4,890.43 = 2,052.02/x
  3. Step 3: Cross multiply
    3,543.63x = 4,890.43 × 2,052.02
  4. Step 4: Simplify right side
    3,543.63x = 10,035,260.17
  5. Step 5: Solve for x
    x = 10,035,260.17/3,543.63
  6. Step 6: Final answer
    x = 2,831.92

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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.