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Finding the Fourth Proportional to 3,622.44, 5,430.78 and 1,569

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Solution

The fourth proportional to 3,622.44, 5,430.78 and 1,569 is: 2,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.44 : 5,430.78 = 1,569 : x
  2. Step 2: Convert to fraction form
    3,622.44/5,430.78 = 1,569/x
  3. Step 3: Cross multiply
    3,622.44x = 5,430.78 × 1,569
  4. Step 4: Simplify right side
    3,622.44x = 8,520,893.82
  5. Step 5: Solve for x
    x = 8,520,893.82/3,622.44
  6. Step 6: Final answer
    x = 2,352.25

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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.