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Finding the Fourth Proportional to 5,952.58, 8,931.31 and 2,057.29

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Solution

The fourth proportional to 5,952.58, 8,931.31 and 2,057.29 is: 3,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.58 : 8,931.31 = 2,057.29 : x
  2. Step 2: Convert to fraction form
    5,952.58/8,931.31 = 2,057.29/x
  3. Step 3: Cross multiply
    5,952.58x = 8,931.31 × 2,057.29
  4. Step 4: Simplify right side
    5,952.58x = 18,374,267.28
  5. Step 5: Solve for x
    x = 18,374,267.28/5,952.58
  6. Step 6: Final answer
    x = 3,086.77

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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.