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Finding the Fourth Proportional to 5,145.90, 7,732.62 and 2,807.52

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Solution

The fourth proportional to 5,145.90, 7,732.62 and 2,807.52 is: 4,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.90 : 7,732.62 = 2,807.52 : x
  2. Step 2: Convert to fraction form
    5,145.90/7,732.62 = 2,807.52/x
  3. Step 3: Cross multiply
    5,145.90x = 7,732.62 × 2,807.52
  4. Step 4: Simplify right side
    5,145.90x = 21,709,485.30
  5. Step 5: Solve for x
    x = 21,709,485.30/5,145.90
  6. Step 6: Final answer
    x = 4,218.79

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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.