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Finding the Fourth Proportional to 3,622.89, 5,430.56 and 1,544.25

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Solution

The fourth proportional to 3,622.89, 5,430.56 and 1,544.25 is: 2,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.89 : 5,430.56 = 1,544.25 : x
  2. Step 2: Convert to fraction form
    3,622.89/5,430.56 = 1,544.25/x
  3. Step 3: Cross multiply
    3,622.89x = 5,430.56 × 1,544.25
  4. Step 4: Simplify right side
    3,622.89x = 8,386,134.56
  5. Step 5: Solve for x
    x = 8,386,134.56/3,622.89
  6. Step 6: Final answer
    x = 2,314.76

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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.