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Finding the Fourth Proportional to 6,438.96, 8,888.37 and 5,449.38

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Solution

The fourth proportional to 6,438.96, 8,888.37 and 5,449.38 is: 7,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.96 : 8,888.37 = 5,449.38 : x
  2. Step 2: Convert to fraction form
    6,438.96/8,888.37 = 5,449.38/x
  3. Step 3: Cross multiply
    6,438.96x = 8,888.37 × 5,449.38
  4. Step 4: Simplify right side
    6,438.96x = 48,436,105.71
  5. Step 5: Solve for x
    x = 48,436,105.71/6,438.96
  6. Step 6: Final answer
    x = 7,522.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.