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Finding the Fourth Proportional to 5,052.65, 6,971.73 and 2,814.47

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Solution

The fourth proportional to 5,052.65, 6,971.73 and 2,814.47 is: 3,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.65 : 6,971.73 = 2,814.47 : x
  2. Step 2: Convert to fraction form
    5,052.65/6,971.73 = 2,814.47/x
  3. Step 3: Cross multiply
    5,052.65x = 6,971.73 × 2,814.47
  4. Step 4: Simplify right side
    5,052.65x = 19,621,716.22
  5. Step 5: Solve for x
    x = 19,621,716.22/5,052.65
  6. Step 6: Final answer
    x = 3,883.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.