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Finding the Fourth Proportional to 6,147.49, 8,483.54 and 3,494.83

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Solution

The fourth proportional to 6,147.49, 8,483.54 and 3,494.83 is: 4,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.49 : 8,483.54 = 3,494.83 : x
  2. Step 2: Convert to fraction form
    6,147.49/8,483.54 = 3,494.83/x
  3. Step 3: Cross multiply
    6,147.49x = 8,483.54 × 3,494.83
  4. Step 4: Simplify right side
    6,147.49x = 29,648,530.10
  5. Step 5: Solve for x
    x = 29,648,530.10/6,147.49
  6. Step 6: Final answer
    x = 4,822.87

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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.