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Finding the Fourth Proportional to 3,815.52, 5,723.40 and 1,220.40

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Solution

The fourth proportional to 3,815.52, 5,723.40 and 1,220.40 is: 1,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.52 : 5,723.40 = 1,220.40 : x
  2. Step 2: Convert to fraction form
    3,815.52/5,723.40 = 1,220.40/x
  3. Step 3: Cross multiply
    3,815.52x = 5,723.40 × 1,220.40
  4. Step 4: Simplify right side
    3,815.52x = 6,984,837.36
  5. Step 5: Solve for x
    x = 6,984,837.36/3,815.52
  6. Step 6: Final answer
    x = 1,830.64

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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.