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Finding the Fourth Proportional to 5,277.96, 7,283.30 and 2,919.96

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Solution

The fourth proportional to 5,277.96, 7,283.30 and 2,919.96 is: 4,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.96 : 7,283.30 = 2,919.96 : x
  2. Step 2: Convert to fraction form
    5,277.96/7,283.30 = 2,919.96/x
  3. Step 3: Cross multiply
    5,277.96x = 7,283.30 × 2,919.96
  4. Step 4: Simplify right side
    5,277.96x = 21,266,930.07
  5. Step 5: Solve for x
    x = 21,266,930.07/5,277.96
  6. Step 6: Final answer
    x = 4,029.38

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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.