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Finding the Fourth Proportional to 4,470.13, 6,169.22 and 3,722.77

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Solution

The fourth proportional to 4,470.13, 6,169.22 and 3,722.77 is: 5,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.13 : 6,169.22 = 3,722.77 : x
  2. Step 2: Convert to fraction form
    4,470.13/6,169.22 = 3,722.77/x
  3. Step 3: Cross multiply
    4,470.13x = 6,169.22 × 3,722.77
  4. Step 4: Simplify right side
    4,470.13x = 22,966,587.14
  5. Step 5: Solve for x
    x = 22,966,587.14/4,470.13
  6. Step 6: Final answer
    x = 5,137.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.