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Finding the Fourth Proportional to 3,046.40, 4,569.60 and 3,027.20

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Solution

The fourth proportional to 3,046.40, 4,569.60 and 3,027.20 is: 4,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.40 : 4,569.60 = 3,027.20 : x
  2. Step 2: Convert to fraction form
    3,046.40/4,569.60 = 3,027.20/x
  3. Step 3: Cross multiply
    3,046.40x = 4,569.60 × 3,027.20
  4. Step 4: Simplify right side
    3,046.40x = 13,833,093.12
  5. Step 5: Solve for x
    x = 13,833,093.12/3,046.40
  6. Step 6: Final answer
    x = 4,540.80

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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.