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Finding the Fourth Proportional to 4,219.77, 5,831.01 and 3,658.44

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Solution

The fourth proportional to 4,219.77, 5,831.01 and 3,658.44 is: 5,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.77 : 5,831.01 = 3,658.44 : x
  2. Step 2: Convert to fraction form
    4,219.77/5,831.01 = 3,658.44/x
  3. Step 3: Cross multiply
    4,219.77x = 5,831.01 × 3,658.44
  4. Step 4: Simplify right side
    4,219.77x = 21,332,400.22
  5. Step 5: Solve for x
    x = 21,332,400.22/4,219.77
  6. Step 6: Final answer
    x = 5,055.35

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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.