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Finding the Fourth Proportional to 4,490.78, 6,730.37 and 3,101.90

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Solution

The fourth proportional to 4,490.78, 6,730.37 and 3,101.90 is: 4,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.78 : 6,730.37 = 3,101.90 : x
  2. Step 2: Convert to fraction form
    4,490.78/6,730.37 = 3,101.90/x
  3. Step 3: Cross multiply
    4,490.78x = 6,730.37 × 3,101.90
  4. Step 4: Simplify right side
    4,490.78x = 20,876,936.02
  5. Step 5: Solve for x
    x = 20,876,936.02/4,490.78
  6. Step 6: Final answer
    x = 4,648.84

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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.