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Finding the Fourth Proportional to 6,147.72, 8,483.52 and 3,494.76

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Solution

The fourth proportional to 6,147.72, 8,483.52 and 3,494.76 is: 4,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.72 : 8,483.52 = 3,494.76 : x
  2. Step 2: Convert to fraction form
    6,147.72/8,483.52 = 3,494.76/x
  3. Step 3: Cross multiply
    6,147.72x = 8,483.52 × 3,494.76
  4. Step 4: Simplify right side
    6,147.72x = 29,647,866.36
  5. Step 5: Solve for x
    x = 29,647,866.36/6,147.72
  6. Step 6: Final answer
    x = 4,822.58

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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.