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Finding the Fourth Proportional to 5,527.14, 8,287.62 and 1,828.38

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Solution

The fourth proportional to 5,527.14, 8,287.62 and 1,828.38 is: 2,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.14 : 8,287.62 = 1,828.38 : x
  2. Step 2: Convert to fraction form
    5,527.14/8,287.62 = 1,828.38/x
  3. Step 3: Cross multiply
    5,527.14x = 8,287.62 × 1,828.38
  4. Step 4: Simplify right side
    5,527.14x = 15,152,918.66
  5. Step 5: Solve for x
    x = 15,152,918.66/5,527.14
  6. Step 6: Final answer
    x = 2,741.55

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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.