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Finding the Fourth Proportional to 3,312.62, 4,978.16 and 3,093.24

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Solution

The fourth proportional to 3,312.62, 4,978.16 and 3,093.24 is: 4,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.62 : 4,978.16 = 3,093.24 : x
  2. Step 2: Convert to fraction form
    3,312.62/4,978.16 = 3,093.24/x
  3. Step 3: Cross multiply
    3,312.62x = 4,978.16 × 3,093.24
  4. Step 4: Simplify right side
    3,312.62x = 15,398,630.44
  5. Step 5: Solve for x
    x = 15,398,630.44/3,312.62
  6. Step 6: Final answer
    x = 4,648.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.