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Finding the Fourth Proportional to 6,149.78, 8,486.54 and 3,497.02

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Solution

The fourth proportional to 6,149.78, 8,486.54 and 3,497.02 is: 4,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.78 : 8,486.54 = 3,497.02 : x
  2. Step 2: Convert to fraction form
    6,149.78/8,486.54 = 3,497.02/x
  3. Step 3: Cross multiply
    6,149.78x = 8,486.54 × 3,497.02
  4. Step 4: Simplify right side
    6,149.78x = 29,677,557.68
  5. Step 5: Solve for x
    x = 29,677,557.68/6,149.78
  6. Step 6: Final answer
    x = 4,825.80

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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.