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Finding the Fourth Proportional to 4,804.60, 7,198.80 and 3,160.30

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Solution

The fourth proportional to 4,804.60, 7,198.80 and 3,160.30 is: 4,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.60 : 7,198.80 = 3,160.30 : x
  2. Step 2: Convert to fraction form
    4,804.60/7,198.80 = 3,160.30/x
  3. Step 3: Cross multiply
    4,804.60x = 7,198.80 × 3,160.30
  4. Step 4: Simplify right side
    4,804.60x = 22,750,367.64
  5. Step 5: Solve for x
    x = 22,750,367.64/4,804.60
  6. Step 6: Final answer
    x = 4,735.12

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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.