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Finding the Fourth Proportional to 5,389.76, 7,438.61 and 3,266.15

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Solution

The fourth proportional to 5,389.76, 7,438.61 and 3,266.15 is: 4,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.76 : 7,438.61 = 3,266.15 : x
  2. Step 2: Convert to fraction form
    5,389.76/7,438.61 = 3,266.15/x
  3. Step 3: Cross multiply
    5,389.76x = 7,438.61 × 3,266.15
  4. Step 4: Simplify right side
    5,389.76x = 24,295,587.02
  5. Step 5: Solve for x
    x = 24,295,587.02/5,389.76
  6. Step 6: Final answer
    x = 4,507.73

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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.