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Finding the Fourth Proportional to 3,098.40, 4,647.60 and 3,076.80

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Solution

The fourth proportional to 3,098.40, 4,647.60 and 3,076.80 is: 4,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.40 : 4,647.60 = 3,076.80 : x
  2. Step 2: Convert to fraction form
    3,098.40/4,647.60 = 3,076.80/x
  3. Step 3: Cross multiply
    3,098.40x = 4,647.60 × 3,076.80
  4. Step 4: Simplify right side
    3,098.40x = 14,299,735.68
  5. Step 5: Solve for x
    x = 14,299,735.68/3,098.40
  6. Step 6: Final answer
    x = 4,615.20

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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.