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Finding the Fourth Proportional to 5,438.24, 7,506.25 and 3,200.84

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Solution

The fourth proportional to 5,438.24, 7,506.25 and 3,200.84 is: 4,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.24 : 7,506.25 = 3,200.84 : x
  2. Step 2: Convert to fraction form
    5,438.24/7,506.25 = 3,200.84/x
  3. Step 3: Cross multiply
    5,438.24x = 7,506.25 × 3,200.84
  4. Step 4: Simplify right side
    5,438.24x = 24,026,305.25
  5. Step 5: Solve for x
    x = 24,026,305.25/5,438.24
  6. Step 6: Final answer
    x = 4,418.03

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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.