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Finding the Fourth Proportional to 4,741.43, 6,543.76 and 2,854.00

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Solution

The fourth proportional to 4,741.43, 6,543.76 and 2,854.00 is: 3,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.43 : 6,543.76 = 2,854.00 : x
  2. Step 2: Convert to fraction form
    4,741.43/6,543.76 = 2,854.00/x
  3. Step 3: Cross multiply
    4,741.43x = 6,543.76 × 2,854.00
  4. Step 4: Simplify right side
    4,741.43x = 18,675,867.55
  5. Step 5: Solve for x
    x = 18,675,867.55/4,741.43
  6. Step 6: Final answer
    x = 3,938.87

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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.