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Finding the Fourth Proportional to 4,287.96, 5,915.79 and 3,031.16

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Solution

The fourth proportional to 4,287.96, 5,915.79 and 3,031.16 is: 4,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.96 : 5,915.79 = 3,031.16 : x
  2. Step 2: Convert to fraction form
    4,287.96/5,915.79 = 3,031.16/x
  3. Step 3: Cross multiply
    4,287.96x = 5,915.79 × 3,031.16
  4. Step 4: Simplify right side
    4,287.96x = 17,931,676.44
  5. Step 5: Solve for x
    x = 17,931,676.44/4,287.96
  6. Step 6: Final answer
    x = 4,181.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.