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Finding the Fourth Proportional to 5,644.66, 8,470.22 and 4,408.60

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Solution

The fourth proportional to 5,644.66, 8,470.22 and 4,408.60 is: 6,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.66 : 8,470.22 = 4,408.60 : x
  2. Step 2: Convert to fraction form
    5,644.66/8,470.22 = 4,408.60/x
  3. Step 3: Cross multiply
    5,644.66x = 8,470.22 × 4,408.60
  4. Step 4: Simplify right side
    5,644.66x = 37,341,811.89
  5. Step 5: Solve for x
    x = 37,341,811.89/5,644.66
  6. Step 6: Final answer
    x = 6,615.42

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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.