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Finding the Fourth Proportional to 3,620.52, 5,430.06 and 1,022.76

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Solution

The fourth proportional to 3,620.52, 5,430.06 and 1,022.76 is: 1,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.52 : 5,430.06 = 1,022.76 : x
  2. Step 2: Convert to fraction form
    3,620.52/5,430.06 = 1,022.76/x
  3. Step 3: Cross multiply
    3,620.52x = 5,430.06 × 1,022.76
  4. Step 4: Simplify right side
    3,620.52x = 5,553,648.17
  5. Step 5: Solve for x
    x = 5,553,648.17/3,620.52
  6. Step 6: Final answer
    x = 1,533.94

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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.