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Finding the Fourth Proportional to 3,776.66, 5,665.02 and 2,215.58

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Solution

The fourth proportional to 3,776.66, 5,665.02 and 2,215.58 is: 3,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.66 : 5,665.02 = 2,215.58 : x
  2. Step 2: Convert to fraction form
    3,776.66/5,665.02 = 2,215.58/x
  3. Step 3: Cross multiply
    3,776.66x = 5,665.02 × 2,215.58
  4. Step 4: Simplify right side
    3,776.66x = 12,551,305.01
  5. Step 5: Solve for x
    x = 12,551,305.01/3,776.66
  6. Step 6: Final answer
    x = 3,323.39

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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.