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Finding the Fourth Proportional to 5,977.31, 8,952.05 and 5,769.68

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Solution

The fourth proportional to 5,977.31, 8,952.05 and 5,769.68 is: 8,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.31 : 8,952.05 = 5,769.68 : x
  2. Step 2: Convert to fraction form
    5,977.31/8,952.05 = 5,769.68/x
  3. Step 3: Cross multiply
    5,977.31x = 8,952.05 × 5,769.68
  4. Step 4: Simplify right side
    5,977.31x = 51,650,433.51
  5. Step 5: Solve for x
    x = 51,650,433.51/5,977.31
  6. Step 6: Final answer
    x = 8,641.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.