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Finding the Fourth Proportional to 5,201.72, 7,807.19 and 2,429.93

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Solution

The fourth proportional to 5,201.72, 7,807.19 and 2,429.93 is: 3,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.72 : 7,807.19 = 2,429.93 : x
  2. Step 2: Convert to fraction form
    5,201.72/7,807.19 = 2,429.93/x
  3. Step 3: Cross multiply
    5,201.72x = 7,807.19 × 2,429.93
  4. Step 4: Simplify right side
    5,201.72x = 18,970,932.57
  5. Step 5: Solve for x
    x = 18,970,932.57/5,201.72
  6. Step 6: Final answer
    x = 3,647.05

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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.