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Finding the Fourth Proportional to 5,682.84, 8,529.34 and 2,911.40

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Solution

The fourth proportional to 5,682.84, 8,529.34 and 2,911.40 is: 4,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.84 : 8,529.34 = 2,911.40 : x
  2. Step 2: Convert to fraction form
    5,682.84/8,529.34 = 2,911.40/x
  3. Step 3: Cross multiply
    5,682.84x = 8,529.34 × 2,911.40
  4. Step 4: Simplify right side
    5,682.84x = 24,832,320.48
  5. Step 5: Solve for x
    x = 24,832,320.48/5,682.84
  6. Step 6: Final answer
    x = 4,369.70

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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.