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Finding the Fourth Proportional to 4,062.50, 6,093.72 and 1,140.80

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Solution

The fourth proportional to 4,062.50, 6,093.72 and 1,140.80 is: 1,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.50 : 6,093.72 = 1,140.80 : x
  2. Step 2: Convert to fraction form
    4,062.50/6,093.72 = 1,140.80/x
  3. Step 3: Cross multiply
    4,062.50x = 6,093.72 × 1,140.80
  4. Step 4: Simplify right side
    4,062.50x = 6,951,715.78
  5. Step 5: Solve for x
    x = 6,951,715.78/4,062.50
  6. Step 6: Final answer
    x = 1,711.19

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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.