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Finding the Fourth Proportional to 5,537.74, 7,642.74 and 3,496.61

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Solution

The fourth proportional to 5,537.74, 7,642.74 and 3,496.61 is: 4,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.74 : 7,642.74 = 3,496.61 : x
  2. Step 2: Convert to fraction form
    5,537.74/7,642.74 = 3,496.61/x
  3. Step 3: Cross multiply
    5,537.74x = 7,642.74 × 3,496.61
  4. Step 4: Simplify right side
    5,537.74x = 26,723,681.11
  5. Step 5: Solve for x
    x = 26,723,681.11/5,537.74
  6. Step 6: Final answer
    x = 4,825.74

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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.