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Finding the Fourth Proportional to 4,540.88, 6,812.50 and 2,074.52

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Solution

The fourth proportional to 4,540.88, 6,812.50 and 2,074.52 is: 3,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.88 : 6,812.50 = 2,074.52 : x
  2. Step 2: Convert to fraction form
    4,540.88/6,812.50 = 2,074.52/x
  3. Step 3: Cross multiply
    4,540.88x = 6,812.50 × 2,074.52
  4. Step 4: Simplify right side
    4,540.88x = 14,132,667.50
  5. Step 5: Solve for x
    x = 14,132,667.50/4,540.88
  6. Step 6: Final answer
    x = 3,112.32

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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.