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Finding the Fourth Proportional to 4,409.58, 6,614.34 and 2,217.77

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Solution

The fourth proportional to 4,409.58, 6,614.34 and 2,217.77 is: 3,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.58 : 6,614.34 = 2,217.77 : x
  2. Step 2: Convert to fraction form
    4,409.58/6,614.34 = 2,217.77/x
  3. Step 3: Cross multiply
    4,409.58x = 6,614.34 × 2,217.77
  4. Step 4: Simplify right side
    4,409.58x = 14,669,084.82
  5. Step 5: Solve for x
    x = 14,669,084.82/4,409.58
  6. Step 6: Final answer
    x = 3,326.64

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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.