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Finding the Fourth Proportional to 4,500.52, 6,750.74 and 1,422.52

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Solution

The fourth proportional to 4,500.52, 6,750.74 and 1,422.52 is: 2,133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.52 : 6,750.74 = 1,422.52 : x
  2. Step 2: Convert to fraction form
    4,500.52/6,750.74 = 1,422.52/x
  3. Step 3: Cross multiply
    4,500.52x = 6,750.74 × 1,422.52
  4. Step 4: Simplify right side
    4,500.52x = 9,603,062.66
  5. Step 5: Solve for x
    x = 9,603,062.66/4,500.52
  6. Step 6: Final answer
    x = 2,133.77

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