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Finding the Fourth Proportional to 3,693.83, 5,541.78 and 1,614.02

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Solution

The fourth proportional to 3,693.83, 5,541.78 and 1,614.02 is: 2,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.83 : 5,541.78 = 1,614.02 : x
  2. Step 2: Convert to fraction form
    3,693.83/5,541.78 = 1,614.02/x
  3. Step 3: Cross multiply
    3,693.83x = 5,541.78 × 1,614.02
  4. Step 4: Simplify right side
    3,693.83x = 8,944,516.05
  5. Step 5: Solve for x
    x = 8,944,516.05/3,693.83
  6. Step 6: Final answer
    x = 2,421.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.