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Finding the Fourth Proportional to 4,506.44, 6,721.12 and 4,349.68

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Solution

The fourth proportional to 4,506.44, 6,721.12 and 4,349.68 is: 6,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.44 : 6,721.12 = 4,349.68 : x
  2. Step 2: Convert to fraction form
    4,506.44/6,721.12 = 4,349.68/x
  3. Step 3: Cross multiply
    4,506.44x = 6,721.12 × 4,349.68
  4. Step 4: Simplify right side
    4,506.44x = 29,234,721.24
  5. Step 5: Solve for x
    x = 29,234,721.24/4,506.44
  6. Step 6: Final answer
    x = 6,487.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.