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Finding the Fourth Proportional to 4,876.78, 7,316.34 and 1,589.80

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Solution

The fourth proportional to 4,876.78, 7,316.34 and 1,589.80 is: 2,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.78 : 7,316.34 = 1,589.80 : x
  2. Step 2: Convert to fraction form
    4,876.78/7,316.34 = 1,589.80/x
  3. Step 3: Cross multiply
    4,876.78x = 7,316.34 × 1,589.80
  4. Step 4: Simplify right side
    4,876.78x = 11,631,517.33
  5. Step 5: Solve for x
    x = 11,631,517.33/4,876.78
  6. Step 6: Final answer
    x = 2,385.08

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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.