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Finding the Fourth Proportional to 3,653.82, 5,044.41 and 2,328.66

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Solution

The fourth proportional to 3,653.82, 5,044.41 and 2,328.66 is: 3,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.82 : 5,044.41 = 2,328.66 : x
  2. Step 2: Convert to fraction form
    3,653.82/5,044.41 = 2,328.66/x
  3. Step 3: Cross multiply
    3,653.82x = 5,044.41 × 2,328.66
  4. Step 4: Simplify right side
    3,653.82x = 11,746,715.79
  5. Step 5: Solve for x
    x = 11,746,715.79/3,653.82
  6. Step 6: Final answer
    x = 3,214.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.