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Finding the Fourth Proportional to 5,614.60, 8,424.34 and 3,014.50

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Solution

The fourth proportional to 5,614.60, 8,424.34 and 3,014.50 is: 4,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.60 : 8,424.34 = 3,014.50 : x
  2. Step 2: Convert to fraction form
    5,614.60/8,424.34 = 3,014.50/x
  3. Step 3: Cross multiply
    5,614.60x = 8,424.34 × 3,014.50
  4. Step 4: Simplify right side
    5,614.60x = 25,395,172.93
  5. Step 5: Solve for x
    x = 25,395,172.93/5,614.60
  6. Step 6: Final answer
    x = 4,523.06

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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.