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Finding the Fourth Proportional to 5,340.86, 8,006.94 and 3,284.54

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Solution

The fourth proportional to 5,340.86, 8,006.94 and 3,284.54 is: 4,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.86 : 8,006.94 = 3,284.54 : x
  2. Step 2: Convert to fraction form
    5,340.86/8,006.94 = 3,284.54/x
  3. Step 3: Cross multiply
    5,340.86x = 8,006.94 × 3,284.54
  4. Step 4: Simplify right side
    5,340.86x = 26,299,114.71
  5. Step 5: Solve for x
    x = 26,299,114.71/5,340.86
  6. Step 6: Final answer
    x = 4,924.13

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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.