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Finding the Fourth Proportional to 5,282.69, 7,924.04 and 1,387.08

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Solution

The fourth proportional to 5,282.69, 7,924.04 and 1,387.08 is: 2,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.69 : 7,924.04 = 1,387.08 : x
  2. Step 2: Convert to fraction form
    5,282.69/7,924.04 = 1,387.08/x
  3. Step 3: Cross multiply
    5,282.69x = 7,924.04 × 1,387.08
  4. Step 4: Simplify right side
    5,282.69x = 10,991,270.47
  5. Step 5: Solve for x
    x = 10,991,270.47/5,282.69
  6. Step 6: Final answer
    x = 2,080.62

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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.