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Finding the Fourth Proportional to 5,679.40, 8,529.66 and 3,385

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Solution

The fourth proportional to 5,679.40, 8,529.66 and 3,385 is: 5,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.40 : 8,529.66 = 3,385 : x
  2. Step 2: Convert to fraction form
    5,679.40/8,529.66 = 3,385/x
  3. Step 3: Cross multiply
    5,679.40x = 8,529.66 × 3,385
  4. Step 4: Simplify right side
    5,679.40x = 28,872,899.10
  5. Step 5: Solve for x
    x = 28,872,899.10/5,679.40
  6. Step 6: Final answer
    x = 5,083.79

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