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Finding the Fourth Proportional to 5,234.19, 7,886.20 and 4,734.44

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Solution

The fourth proportional to 5,234.19, 7,886.20 and 4,734.44 is: 7,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.19 : 7,886.20 = 4,734.44 : x
  2. Step 2: Convert to fraction form
    5,234.19/7,886.20 = 4,734.44/x
  3. Step 3: Cross multiply
    5,234.19x = 7,886.20 × 4,734.44
  4. Step 4: Simplify right side
    5,234.19x = 37,336,677.62
  5. Step 5: Solve for x
    x = 37,336,677.62/5,234.19
  6. Step 6: Final answer
    x = 7,133.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.