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Finding the Fourth Proportional to 3,915.78, 5,873.64 and 994.11

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Solution

The fourth proportional to 3,915.78, 5,873.64 and 994.11 is: 1,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.78 : 5,873.64 = 994.11 : x
  2. Step 2: Convert to fraction form
    3,915.78/5,873.64 = 994.11/x
  3. Step 3: Cross multiply
    3,915.78x = 5,873.64 × 994.11
  4. Step 4: Simplify right side
    3,915.78x = 5,839,044.26
  5. Step 5: Solve for x
    x = 5,839,044.26/3,915.78
  6. Step 6: Final answer
    x = 1,491.16

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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.