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Finding the Fourth Proportional to 4,682.92, 7,029.18 and 3,154.60

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Solution

The fourth proportional to 4,682.92, 7,029.18 and 3,154.60 is: 4,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.92 : 7,029.18 = 3,154.60 : x
  2. Step 2: Convert to fraction form
    4,682.92/7,029.18 = 3,154.60/x
  3. Step 3: Cross multiply
    4,682.92x = 7,029.18 × 3,154.60
  4. Step 4: Simplify right side
    4,682.92x = 22,174,251.23
  5. Step 5: Solve for x
    x = 22,174,251.23/4,682.92
  6. Step 6: Final answer
    x = 4,735.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.