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Finding the Fourth Proportional to 5,600.42, 8,400.29 and 2,089.75

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Solution

The fourth proportional to 5,600.42, 8,400.29 and 2,089.75 is: 3,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.42 : 8,400.29 = 2,089.75 : x
  2. Step 2: Convert to fraction form
    5,600.42/8,400.29 = 2,089.75/x
  3. Step 3: Cross multiply
    5,600.42x = 8,400.29 × 2,089.75
  4. Step 4: Simplify right side
    5,600.42x = 17,554,506.03
  5. Step 5: Solve for x
    x = 17,554,506.03/5,600.42
  6. Step 6: Final answer
    x = 3,134.50

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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.