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Finding the Fourth Proportional to 5,101.32, 7,643.07 and 3,632.79

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Solution

The fourth proportional to 5,101.32, 7,643.07 and 3,632.79 is: 5,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.32 : 7,643.07 = 3,632.79 : x
  2. Step 2: Convert to fraction form
    5,101.32/7,643.07 = 3,632.79/x
  3. Step 3: Cross multiply
    5,101.32x = 7,643.07 × 3,632.79
  4. Step 4: Simplify right side
    5,101.32x = 27,765,668.27
  5. Step 5: Solve for x
    x = 27,765,668.27/5,101.32
  6. Step 6: Final answer
    x = 5,442.84

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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.