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Finding the Fourth Proportional to 3,658.53, 5,480.92 and 1,807.48

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Solution

The fourth proportional to 3,658.53, 5,480.92 and 1,807.48 is: 2,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.53 : 5,480.92 = 1,807.48 : x
  2. Step 2: Convert to fraction form
    3,658.53/5,480.92 = 1,807.48/x
  3. Step 3: Cross multiply
    3,658.53x = 5,480.92 × 1,807.48
  4. Step 4: Simplify right side
    3,658.53x = 9,906,652.23
  5. Step 5: Solve for x
    x = 9,906,652.23/3,658.53
  6. Step 6: Final answer
    x = 2,707.82

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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.