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Finding the Fourth Proportional to 4,409.46, 6,614.11 and 1,776.90

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Solution

The fourth proportional to 4,409.46, 6,614.11 and 1,776.90 is: 2,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.46 : 6,614.11 = 1,776.90 : x
  2. Step 2: Convert to fraction form
    4,409.46/6,614.11 = 1,776.90/x
  3. Step 3: Cross multiply
    4,409.46x = 6,614.11 × 1,776.90
  4. Step 4: Simplify right side
    4,409.46x = 11,752,612.06
  5. Step 5: Solve for x
    x = 11,752,612.06/4,409.46
  6. Step 6: Final answer
    x = 2,665.32

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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.