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Finding the Fourth Proportional to 4,093.61, 6,143.10 and 2,246.02

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Solution

The fourth proportional to 4,093.61, 6,143.10 and 2,246.02 is: 3,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.61 : 6,143.10 = 2,246.02 : x
  2. Step 2: Convert to fraction form
    4,093.61/6,143.10 = 2,246.02/x
  3. Step 3: Cross multiply
    4,093.61x = 6,143.10 × 2,246.02
  4. Step 4: Simplify right side
    4,093.61x = 13,797,525.46
  5. Step 5: Solve for x
    x = 13,797,525.46/4,093.61
  6. Step 6: Final answer
    x = 3,370.50

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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.