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Finding the Fourth Proportional to 4,957.25, 7,437.11 and 3,499.25

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Solution

The fourth proportional to 4,957.25, 7,437.11 and 3,499.25 is: 5,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.25 : 7,437.11 = 3,499.25 : x
  2. Step 2: Convert to fraction form
    4,957.25/7,437.11 = 3,499.25/x
  3. Step 3: Cross multiply
    4,957.25x = 7,437.11 × 3,499.25
  4. Step 4: Simplify right side
    4,957.25x = 26,024,252.49
  5. Step 5: Solve for x
    x = 26,024,252.49/4,957.25
  6. Step 6: Final answer
    x = 5,249.74

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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.