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Finding the Fourth Proportional to 5,684.99, 8,527.14 and 2,126.42

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Solution

The fourth proportional to 5,684.99, 8,527.14 and 2,126.42 is: 3,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.99 : 8,527.14 = 2,126.42 : x
  2. Step 2: Convert to fraction form
    5,684.99/8,527.14 = 2,126.42/x
  3. Step 3: Cross multiply
    5,684.99x = 8,527.14 × 2,126.42
  4. Step 4: Simplify right side
    5,684.99x = 18,132,238.40
  5. Step 5: Solve for x
    x = 18,132,238.40/5,684.99
  6. Step 6: Final answer
    x = 3,189.50

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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.