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Finding the Fourth Proportional to 5,052.77, 6,972.75 and 2,814.89

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Solution

The fourth proportional to 5,052.77, 6,972.75 and 2,814.89 is: 3,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.77 : 6,972.75 = 2,814.89 : x
  2. Step 2: Convert to fraction form
    5,052.77/6,972.75 = 2,814.89/x
  3. Step 3: Cross multiply
    5,052.77x = 6,972.75 × 2,814.89
  4. Step 4: Simplify right side
    5,052.77x = 19,627,489.38
  5. Step 5: Solve for x
    x = 19,627,489.38/5,052.77
  6. Step 6: Final answer
    x = 3,884.50

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Why These Related Problems?

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