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Finding the Fourth Proportional to 4,773.75, 7,125.75 and 4,422.01

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Solution

The fourth proportional to 4,773.75, 7,125.75 and 4,422.01 is: 6,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.75 : 7,125.75 = 4,422.01 : x
  2. Step 2: Convert to fraction form
    4,773.75/7,125.75 = 4,422.01/x
  3. Step 3: Cross multiply
    4,773.75x = 7,125.75 × 4,422.01
  4. Step 4: Simplify right side
    4,773.75x = 31,510,137.76
  5. Step 5: Solve for x
    x = 31,510,137.76/4,773.75
  6. Step 6: Final answer
    x = 6,600.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.