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Finding the Fourth Proportional to 3,661.65, 5,497.91 and 3,534.08

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Solution

The fourth proportional to 3,661.65, 5,497.91 and 3,534.08 is: 5,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.65 : 5,497.91 = 3,534.08 : x
  2. Step 2: Convert to fraction form
    3,661.65/5,497.91 = 3,534.08/x
  3. Step 3: Cross multiply
    3,661.65x = 5,497.91 × 3,534.08
  4. Step 4: Simplify right side
    3,661.65x = 19,430,021.87
  5. Step 5: Solve for x
    x = 19,430,021.87/3,661.65
  6. Step 6: Final answer
    x = 5,306.36

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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.