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Finding the Fourth Proportional to 4,409.43, 6,616.30 and 1,776.82

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Solution

The fourth proportional to 4,409.43, 6,616.30 and 1,776.82 is: 2,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.43 : 6,616.30 = 1,776.82 : x
  2. Step 2: Convert to fraction form
    4,409.43/6,616.30 = 1,776.82/x
  3. Step 3: Cross multiply
    4,409.43x = 6,616.30 × 1,776.82
  4. Step 4: Simplify right side
    4,409.43x = 11,755,941.08
  5. Step 5: Solve for x
    x = 11,755,941.08/4,409.43
  6. Step 6: Final answer
    x = 2,666.09

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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.