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Finding the Fourth Proportional to 3,620.52, 5,430.81 and 1,023.48

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Solution

The fourth proportional to 3,620.52, 5,430.81 and 1,023.48 is: 1,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.52 : 5,430.81 = 1,023.48 : x
  2. Step 2: Convert to fraction form
    3,620.52/5,430.81 = 1,023.48/x
  3. Step 3: Cross multiply
    3,620.52x = 5,430.81 × 1,023.48
  4. Step 4: Simplify right side
    3,620.52x = 5,558,325.42
  5. Step 5: Solve for x
    x = 5,558,325.42/3,620.52
  6. Step 6: Final answer
    x = 1,535.23

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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.