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Finding the Fourth Proportional to 5,105.84, 7,658.76 and 3,374.06

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Solution

The fourth proportional to 5,105.84, 7,658.76 and 3,374.06 is: 5,061.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.84 : 7,658.76 = 3,374.06 : x
  2. Step 2: Convert to fraction form
    5,105.84/7,658.76 = 3,374.06/x
  3. Step 3: Cross multiply
    5,105.84x = 7,658.76 × 3,374.06
  4. Step 4: Simplify right side
    5,105.84x = 25,841,115.77
  5. Step 5: Solve for x
    x = 25,841,115.77/5,105.84
  6. Step 6: Final answer
    x = 5,061.09

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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.