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Finding the Fourth Proportional to 4,357.21, 6,535.80 and 1,237.22

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Solution

The fourth proportional to 4,357.21, 6,535.80 and 1,237.22 is: 1,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.21 : 6,535.80 = 1,237.22 : x
  2. Step 2: Convert to fraction form
    4,357.21/6,535.80 = 1,237.22/x
  3. Step 3: Cross multiply
    4,357.21x = 6,535.80 × 1,237.22
  4. Step 4: Simplify right side
    4,357.21x = 8,086,183.61
  5. Step 5: Solve for x
    x = 8,086,183.61/4,357.21
  6. Step 6: Final answer
    x = 1,855.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.