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Finding the Fourth Proportional to 4,138.80, 6,210.24 and 3,048

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Solution

The fourth proportional to 4,138.80, 6,210.24 and 3,048 is: 4,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.80 : 6,210.24 = 3,048 : x
  2. Step 2: Convert to fraction form
    4,138.80/6,210.24 = 3,048/x
  3. Step 3: Cross multiply
    4,138.80x = 6,210.24 × 3,048
  4. Step 4: Simplify right side
    4,138.80x = 18,928,811.52
  5. Step 5: Solve for x
    x = 18,928,811.52/4,138.80
  6. Step 6: Final answer
    x = 4,573.50

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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.