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Finding the Fourth Proportional to 5,497.34, 7,586.38 and 3,107.21

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Solution

The fourth proportional to 5,497.34, 7,586.38 and 3,107.21 is: 4,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.34 : 7,586.38 = 3,107.21 : x
  2. Step 2: Convert to fraction form
    5,497.34/7,586.38 = 3,107.21/x
  3. Step 3: Cross multiply
    5,497.34x = 7,586.38 × 3,107.21
  4. Step 4: Simplify right side
    5,497.34x = 23,572,493.16
  5. Step 5: Solve for x
    x = 23,572,493.16/5,497.34
  6. Step 6: Final answer
    x = 4,287.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.