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Finding the Fourth Proportional to 5,142.74, 7,676.49 and 4,416.98

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Solution

The fourth proportional to 5,142.74, 7,676.49 and 4,416.98 is: 6,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.74 : 7,676.49 = 4,416.98 : x
  2. Step 2: Convert to fraction form
    5,142.74/7,676.49 = 4,416.98/x
  3. Step 3: Cross multiply
    5,142.74x = 7,676.49 × 4,416.98
  4. Step 4: Simplify right side
    5,142.74x = 33,906,880.72
  5. Step 5: Solve for x
    x = 33,906,880.72/5,142.74
  6. Step 6: Final answer
    x = 6,593.15

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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.