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Finding the Fourth Proportional to 5,688.84, 8,536.86 and 2,226

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Solution

The fourth proportional to 5,688.84, 8,536.86 and 2,226 is: 3,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.84 : 8,536.86 = 2,226 : x
  2. Step 2: Convert to fraction form
    5,688.84/8,536.86 = 2,226/x
  3. Step 3: Cross multiply
    5,688.84x = 8,536.86 × 2,226
  4. Step 4: Simplify right side
    5,688.84x = 19,003,050.36
  5. Step 5: Solve for x
    x = 19,003,050.36/5,688.84
  6. Step 6: Final answer
    x = 3,340.41

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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.