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Finding the Fourth Proportional to 5,336, 8,006.92 and 2,414.08

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Solution

The fourth proportional to 5,336, 8,006.92 and 2,414.08 is: 3,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336 : 8,006.92 = 2,414.08 : x
  2. Step 2: Convert to fraction form
    5,336/8,006.92 = 2,414.08/x
  3. Step 3: Cross multiply
    5,336x = 8,006.92 × 2,414.08
  4. Step 4: Simplify right side
    5,336x = 19,329,345.43
  5. Step 5: Solve for x
    x = 19,329,345.43/5,336
  6. Step 6: Final answer
    x = 3,622.44

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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.