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Finding the Fourth Proportional to 4,836.69, 7,242.66 and 3,188.19

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Solution

The fourth proportional to 4,836.69, 7,242.66 and 3,188.19 is: 4,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.69 : 7,242.66 = 3,188.19 : x
  2. Step 2: Convert to fraction form
    4,836.69/7,242.66 = 3,188.19/x
  3. Step 3: Cross multiply
    4,836.69x = 7,242.66 × 3,188.19
  4. Step 4: Simplify right side
    4,836.69x = 23,090,976.19
  5. Step 5: Solve for x
    x = 23,090,976.19/4,836.69
  6. Step 6: Final answer
    x = 4,774.13

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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.