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Finding the Fourth Proportional to 5,182.60, 7,771.05 and 3,541

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Solution

The fourth proportional to 5,182.60, 7,771.05 and 3,541 is: 5,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.60 : 7,771.05 = 3,541 : x
  2. Step 2: Convert to fraction form
    5,182.60/7,771.05 = 3,541/x
  3. Step 3: Cross multiply
    5,182.60x = 7,771.05 × 3,541
  4. Step 4: Simplify right side
    5,182.60x = 27,517,288.05
  5. Step 5: Solve for x
    x = 27,517,288.05/5,182.60
  6. Step 6: Final answer
    x = 5,309.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.