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Finding the Fourth Proportional to 4,919.31, 7,350.19 and 4,747.10

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Solution

The fourth proportional to 4,919.31, 7,350.19 and 4,747.10 is: 7,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.31 : 7,350.19 = 4,747.10 : x
  2. Step 2: Convert to fraction form
    4,919.31/7,350.19 = 4,747.10/x
  3. Step 3: Cross multiply
    4,919.31x = 7,350.19 × 4,747.10
  4. Step 4: Simplify right side
    4,919.31x = 34,892,038.33
  5. Step 5: Solve for x
    x = 34,892,038.33/4,919.31
  6. Step 6: Final answer
    x = 7,092.87

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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.