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Finding the Fourth Proportional to 4,406.20, 6,574.06 and 4,197.22

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Solution

The fourth proportional to 4,406.20, 6,574.06 and 4,197.22 is: 6,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.20 : 6,574.06 = 4,197.22 : x
  2. Step 2: Convert to fraction form
    4,406.20/6,574.06 = 4,197.22/x
  3. Step 3: Cross multiply
    4,406.20x = 6,574.06 × 4,197.22
  4. Step 4: Simplify right side
    4,406.20x = 27,592,764.92
  5. Step 5: Solve for x
    x = 27,592,764.92/4,406.20
  6. Step 6: Final answer
    x = 6,262.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.