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Finding the Fourth Proportional to 4,542.38, 6,815.27 and 1,464.38

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Solution

The fourth proportional to 4,542.38, 6,815.27 and 1,464.38 is: 2,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.38 : 6,815.27 = 1,464.38 : x
  2. Step 2: Convert to fraction form
    4,542.38/6,815.27 = 1,464.38/x
  3. Step 3: Cross multiply
    4,542.38x = 6,815.27 × 1,464.38
  4. Step 4: Simplify right side
    4,542.38x = 9,980,114.67
  5. Step 5: Solve for x
    x = 9,980,114.67/4,542.38
  6. Step 6: Final answer
    x = 2,197.11

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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.