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Finding the Fourth Proportional to 3,915.69, 5,873.56 and 994.00

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Solution

The fourth proportional to 3,915.69, 5,873.56 and 994.00 is: 1,491.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.69 : 5,873.56 = 994.00 : x
  2. Step 2: Convert to fraction form
    3,915.69/5,873.56 = 994.00/x
  3. Step 3: Cross multiply
    3,915.69x = 5,873.56 × 994.00
  4. Step 4: Simplify right side
    3,915.69x = 5,838,301.56
  5. Step 5: Solve for x
    x = 5,838,301.56/3,915.69
  6. Step 6: Final answer
    x = 1,491.00

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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.