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Finding the Fourth Proportional to 4,719.24, 7,068.08 and 2,255.78

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Solution

The fourth proportional to 4,719.24, 7,068.08 and 2,255.78 is: 3,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.24 : 7,068.08 = 2,255.78 : x
  2. Step 2: Convert to fraction form
    4,719.24/7,068.08 = 2,255.78/x
  3. Step 3: Cross multiply
    4,719.24x = 7,068.08 × 2,255.78
  4. Step 4: Simplify right side
    4,719.24x = 15,944,033.50
  5. Step 5: Solve for x
    x = 15,944,033.50/4,719.24
  6. Step 6: Final answer
    x = 3,378.52

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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.