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Finding the Fourth Proportional to 5,201.32, 7,793.18 and 3,145

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Solution

The fourth proportional to 5,201.32, 7,793.18 and 3,145 is: 4,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.32 : 7,793.18 = 3,145 : x
  2. Step 2: Convert to fraction form
    5,201.32/7,793.18 = 3,145/x
  3. Step 3: Cross multiply
    5,201.32x = 7,793.18 × 3,145
  4. Step 4: Simplify right side
    5,201.32x = 24,509,551.10
  5. Step 5: Solve for x
    x = 24,509,551.10/5,201.32
  6. Step 6: Final answer
    x = 4,712.18

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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.