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Finding the Fourth Proportional to 5,343.95, 7,374.14 and 3,105.80

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Solution

The fourth proportional to 5,343.95, 7,374.14 and 3,105.80 is: 4,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.95 : 7,374.14 = 3,105.80 : x
  2. Step 2: Convert to fraction form
    5,343.95/7,374.14 = 3,105.80/x
  3. Step 3: Cross multiply
    5,343.95x = 7,374.14 × 3,105.80
  4. Step 4: Simplify right side
    5,343.95x = 22,902,551.61
  5. Step 5: Solve for x
    x = 22,902,551.61/5,343.95
  6. Step 6: Final answer
    x = 4,285.70

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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.