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Finding the Fourth Proportional to 5,137.05, 7,701.31 and 4,477.31

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Solution

The fourth proportional to 5,137.05, 7,701.31 and 4,477.31 is: 6,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.05 : 7,701.31 = 4,477.31 : x
  2. Step 2: Convert to fraction form
    5,137.05/7,701.31 = 4,477.31/x
  3. Step 3: Cross multiply
    5,137.05x = 7,701.31 × 4,477.31
  4. Step 4: Simplify right side
    5,137.05x = 34,481,148.25
  5. Step 5: Solve for x
    x = 34,481,148.25/5,137.05
  6. Step 6: Final answer
    x = 6,712.24

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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.