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Finding the Fourth Proportional to 5,549.48, 7,645.25 and 3,867.83

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Solution

The fourth proportional to 5,549.48, 7,645.25 and 3,867.83 is: 5,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.48 : 7,645.25 = 3,867.83 : x
  2. Step 2: Convert to fraction form
    5,549.48/7,645.25 = 3,867.83/x
  3. Step 3: Cross multiply
    5,549.48x = 7,645.25 × 3,867.83
  4. Step 4: Simplify right side
    5,549.48x = 29,570,527.31
  5. Step 5: Solve for x
    x = 29,570,527.31/5,549.48
  6. Step 6: Final answer
    x = 5,328.52

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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.