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Finding the Fourth Proportional to 3,678.52, 5,516.13 and 1,081.66

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Solution

The fourth proportional to 3,678.52, 5,516.13 and 1,081.66 is: 1,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.52 : 5,516.13 = 1,081.66 : x
  2. Step 2: Convert to fraction form
    3,678.52/5,516.13 = 1,081.66/x
  3. Step 3: Cross multiply
    3,678.52x = 5,516.13 × 1,081.66
  4. Step 4: Simplify right side
    3,678.52x = 5,966,577.18
  5. Step 5: Solve for x
    x = 5,966,577.18/3,678.52
  6. Step 6: Final answer
    x = 1,622.00

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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.