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Finding the Fourth Proportional to 3,748.22, 5,622.06 and 1,151

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Solution

The fourth proportional to 3,748.22, 5,622.06 and 1,151 is: 1,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.22 : 5,622.06 = 1,151 : x
  2. Step 2: Convert to fraction form
    3,748.22/5,622.06 = 1,151/x
  3. Step 3: Cross multiply
    3,748.22x = 5,622.06 × 1,151
  4. Step 4: Simplify right side
    3,748.22x = 6,470,991.06
  5. Step 5: Solve for x
    x = 6,470,991.06/3,748.22
  6. Step 6: Final answer
    x = 1,726.42

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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.