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Finding the Fourth Proportional to 6,404.96, 8,838.78 and 4,049.04

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Solution

The fourth proportional to 6,404.96, 8,838.78 and 4,049.04 is: 5,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.96 : 8,838.78 = 4,049.04 : x
  2. Step 2: Convert to fraction form
    6,404.96/8,838.78 = 4,049.04/x
  3. Step 3: Cross multiply
    6,404.96x = 8,838.78 × 4,049.04
  4. Step 4: Simplify right side
    6,404.96x = 35,788,573.77
  5. Step 5: Solve for x
    x = 35,788,573.77/6,404.96
  6. Step 6: Final answer
    x = 5,587.63

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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.