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Finding the Fourth Proportional to 3,817.22, 5,726.46 and 1,220

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Solution

The fourth proportional to 3,817.22, 5,726.46 and 1,220 is: 1,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.22 : 5,726.46 = 1,220 : x
  2. Step 2: Convert to fraction form
    3,817.22/5,726.46 = 1,220/x
  3. Step 3: Cross multiply
    3,817.22x = 5,726.46 × 1,220
  4. Step 4: Simplify right side
    3,817.22x = 6,986,281.20
  5. Step 5: Solve for x
    x = 6,986,281.20/3,817.22
  6. Step 6: Final answer
    x = 1,830.20

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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.