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Finding the Fourth Proportional to 4,815.52, 7,223.55 and 1,352.50

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Solution

The fourth proportional to 4,815.52, 7,223.55 and 1,352.50 is: 2,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.52 : 7,223.55 = 1,352.50 : x
  2. Step 2: Convert to fraction form
    4,815.52/7,223.55 = 1,352.50/x
  3. Step 3: Cross multiply
    4,815.52x = 7,223.55 × 1,352.50
  4. Step 4: Simplify right side
    4,815.52x = 9,769,851.38
  5. Step 5: Solve for x
    x = 9,769,851.38/4,815.52
  6. Step 6: Final answer
    x = 2,028.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.