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Finding the Fourth Proportional to 5,939.95, 8,180.41 and 5,810.78

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Solution

The fourth proportional to 5,939.95, 8,180.41 and 5,810.78 is: 8,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.95 : 8,180.41 = 5,810.78 : x
  2. Step 2: Convert to fraction form
    5,939.95/8,180.41 = 5,810.78/x
  3. Step 3: Cross multiply
    5,939.95x = 8,180.41 × 5,810.78
  4. Step 4: Simplify right side
    5,939.95x = 47,534,497.61
  5. Step 5: Solve for x
    x = 47,534,497.61/5,939.95
  6. Step 6: Final answer
    x = 8,002.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.