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Finding the Fourth Proportional to 3,390.46, 4,643.78 and 3,191.20

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Solution

The fourth proportional to 3,390.46, 4,643.78 and 3,191.20 is: 4,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.46 : 4,643.78 = 3,191.20 : x
  2. Step 2: Convert to fraction form
    3,390.46/4,643.78 = 3,191.20/x
  3. Step 3: Cross multiply
    3,390.46x = 4,643.78 × 3,191.20
  4. Step 4: Simplify right side
    3,390.46x = 14,819,230.74
  5. Step 5: Solve for x
    x = 14,819,230.74/3,390.46
  6. Step 6: Final answer
    x = 4,370.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.