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Finding the Fourth Proportional to 5,909.84, 8,868 and 2,214.64

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Solution

The fourth proportional to 5,909.84, 8,868 and 2,214.64 is: 3,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.84 : 8,868 = 2,214.64 : x
  2. Step 2: Convert to fraction form
    5,909.84/8,868 = 2,214.64/x
  3. Step 3: Cross multiply
    5,909.84x = 8,868 × 2,214.64
  4. Step 4: Simplify right side
    5,909.84x = 19,639,427.52
  5. Step 5: Solve for x
    x = 19,639,427.52/5,909.84
  6. Step 6: Final answer
    x = 3,323.17

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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.