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Finding the Fourth Proportional to 5,686.84, 8,527.56 and 2,914.84

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Solution

The fourth proportional to 5,686.84, 8,527.56 and 2,914.84 is: 4,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.84 : 8,527.56 = 2,914.84 : x
  2. Step 2: Convert to fraction form
    5,686.84/8,527.56 = 2,914.84/x
  3. Step 3: Cross multiply
    5,686.84x = 8,527.56 × 2,914.84
  4. Step 4: Simplify right side
    5,686.84x = 24,856,472.99
  5. Step 5: Solve for x
    x = 24,856,472.99/5,686.84
  6. Step 6: Final answer
    x = 4,370.88

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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.