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Finding the Fourth Proportional to 3,915.31, 5,873.01 and 993.54

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Solution

The fourth proportional to 3,915.31, 5,873.01 and 993.54 is: 1,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.31 : 5,873.01 = 993.54 : x
  2. Step 2: Convert to fraction form
    3,915.31/5,873.01 = 993.54/x
  3. Step 3: Cross multiply
    3,915.31x = 5,873.01 × 993.54
  4. Step 4: Simplify right side
    3,915.31x = 5,835,070.36
  5. Step 5: Solve for x
    x = 5,835,070.36/3,915.31
  6. Step 6: Final answer
    x = 1,490.32

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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.