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Finding the Fourth Proportional to 4,312.62, 6,467.58 and 2,859.48

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Solution

The fourth proportional to 4,312.62, 6,467.58 and 2,859.48 is: 4,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.62 : 6,467.58 = 2,859.48 : x
  2. Step 2: Convert to fraction form
    4,312.62/6,467.58 = 2,859.48/x
  3. Step 3: Cross multiply
    4,312.62x = 6,467.58 × 2,859.48
  4. Step 4: Simplify right side
    4,312.62x = 18,493,915.66
  5. Step 5: Solve for x
    x = 18,493,915.66/4,312.62
  6. Step 6: Final answer
    x = 4,288.32

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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.