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Finding the Fourth Proportional to 5,094.74, 7,630.82 and 3,916.06

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Solution

The fourth proportional to 5,094.74, 7,630.82 and 3,916.06 is: 5,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.74 : 7,630.82 = 3,916.06 : x
  2. Step 2: Convert to fraction form
    5,094.74/7,630.82 = 3,916.06/x
  3. Step 3: Cross multiply
    5,094.74x = 7,630.82 × 3,916.06
  4. Step 4: Simplify right side
    5,094.74x = 29,882,748.97
  5. Step 5: Solve for x
    x = 29,882,748.97/5,094.74
  6. Step 6: Final answer
    x = 5,865.41

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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.