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Finding the Fourth Proportional to 3,794.77, 5,693.37 and 1,603.59

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Solution

The fourth proportional to 3,794.77, 5,693.37 and 1,603.59 is: 2,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.77 : 5,693.37 = 1,603.59 : x
  2. Step 2: Convert to fraction form
    3,794.77/5,693.37 = 1,603.59/x
  3. Step 3: Cross multiply
    3,794.77x = 5,693.37 × 1,603.59
  4. Step 4: Simplify right side
    3,794.77x = 9,129,831.20
  5. Step 5: Solve for x
    x = 9,129,831.20/3,794.77
  6. Step 6: Final answer
    x = 2,405.90

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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.