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Finding the Fourth Proportional to 5,438.72, 7,506.10 and 3,200.49

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Solution

The fourth proportional to 5,438.72, 7,506.10 and 3,200.49 is: 4,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.72 : 7,506.10 = 3,200.49 : x
  2. Step 2: Convert to fraction form
    5,438.72/7,506.10 = 3,200.49/x
  3. Step 3: Cross multiply
    5,438.72x = 7,506.10 × 3,200.49
  4. Step 4: Simplify right side
    5,438.72x = 24,023,189.99
  5. Step 5: Solve for x
    x = 24,023,189.99/5,438.72
  6. Step 6: Final answer
    x = 4,417.06

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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.