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Finding the Fourth Proportional to 3,915.02, 5,872.54 and 993.32

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Solution

The fourth proportional to 3,915.02, 5,872.54 and 993.32 is: 1,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.02 : 5,872.54 = 993.32 : x
  2. Step 2: Convert to fraction form
    3,915.02/5,872.54 = 993.32/x
  3. Step 3: Cross multiply
    3,915.02x = 5,872.54 × 993.32
  4. Step 4: Simplify right side
    3,915.02x = 5,833,311.43
  5. Step 5: Solve for x
    x = 5,833,311.43/3,915.02
  6. Step 6: Final answer
    x = 1,489.98

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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.