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Finding the Fourth Proportional to 4,878.30, 7,324.20 and 3,134.10

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Solution

The fourth proportional to 4,878.30, 7,324.20 and 3,134.10 is: 4,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.30 : 7,324.20 = 3,134.10 : x
  2. Step 2: Convert to fraction form
    4,878.30/7,324.20 = 3,134.10/x
  3. Step 3: Cross multiply
    4,878.30x = 7,324.20 × 3,134.10
  4. Step 4: Simplify right side
    4,878.30x = 22,954,775.22
  5. Step 5: Solve for x
    x = 22,954,775.22/4,878.30
  6. Step 6: Final answer
    x = 4,705.49

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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.