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Finding the Fourth Proportional to 6,404.67, 8,838.36 and 3,610.17

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Solution

The fourth proportional to 6,404.67, 8,838.36 and 3,610.17 is: 4,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.67 : 8,838.36 = 3,610.17 : x
  2. Step 2: Convert to fraction form
    6,404.67/8,838.36 = 3,610.17/x
  3. Step 3: Cross multiply
    6,404.67x = 8,838.36 × 3,610.17
  4. Step 4: Simplify right side
    6,404.67x = 31,907,982.12
  5. Step 5: Solve for x
    x = 31,907,982.12/6,404.67
  6. Step 6: Final answer
    x = 4,981.99

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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.