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Finding the Fourth Proportional to 4,544.35, 6,822.24 and 4,334.02

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Solution

The fourth proportional to 4,544.35, 6,822.24 and 4,334.02 is: 6,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.35 : 6,822.24 = 4,334.02 : x
  2. Step 2: Convert to fraction form
    4,544.35/6,822.24 = 4,334.02/x
  3. Step 3: Cross multiply
    4,544.35x = 6,822.24 × 4,334.02
  4. Step 4: Simplify right side
    4,544.35x = 29,567,734.41
  5. Step 5: Solve for x
    x = 29,567,734.41/4,544.35
  6. Step 6: Final answer
    x = 6,506.49

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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.