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Finding the Fourth Proportional to 5,200.32, 7,804.68 and 2,736.60

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Solution

The fourth proportional to 5,200.32, 7,804.68 and 2,736.60 is: 4,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.32 : 7,804.68 = 2,736.60 : x
  2. Step 2: Convert to fraction form
    5,200.32/7,804.68 = 2,736.60/x
  3. Step 3: Cross multiply
    5,200.32x = 7,804.68 × 2,736.60
  4. Step 4: Simplify right side
    5,200.32x = 21,358,287.29
  5. Step 5: Solve for x
    x = 21,358,287.29/5,200.32
  6. Step 6: Final answer
    x = 4,107.11

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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.