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Finding the Fourth Proportional to 4,765.78, 7,152.40 and 3,121.90

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Solution

The fourth proportional to 4,765.78, 7,152.40 and 3,121.90 is: 4,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.78 : 7,152.40 = 3,121.90 : x
  2. Step 2: Convert to fraction form
    4,765.78/7,152.40 = 3,121.90/x
  3. Step 3: Cross multiply
    4,765.78x = 7,152.40 × 3,121.90
  4. Step 4: Simplify right side
    4,765.78x = 22,329,077.56
  5. Step 5: Solve for x
    x = 22,329,077.56/4,765.78
  6. Step 6: Final answer
    x = 4,685.29

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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.