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Finding the Fourth Proportional to 5,088, 7,020.94 and 2,849.76

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Solution

The fourth proportional to 5,088, 7,020.94 and 2,849.76 is: 3,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088 : 7,020.94 = 2,849.76 : x
  2. Step 2: Convert to fraction form
    5,088/7,020.94 = 2,849.76/x
  3. Step 3: Cross multiply
    5,088x = 7,020.94 × 2,849.76
  4. Step 4: Simplify right side
    5,088x = 20,007,993.97
  5. Step 5: Solve for x
    x = 20,007,993.97/5,088
  6. Step 6: Final answer
    x = 3,932.39

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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.