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Finding the Fourth Proportional to 3,456.16, 5,185.14 and 991.17

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Solution

The fourth proportional to 3,456.16, 5,185.14 and 991.17 is: 1,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.16 : 5,185.14 = 991.17 : x
  2. Step 2: Convert to fraction form
    3,456.16/5,185.14 = 991.17/x
  3. Step 3: Cross multiply
    3,456.16x = 5,185.14 × 991.17
  4. Step 4: Simplify right side
    3,456.16x = 5,139,351.50
  5. Step 5: Solve for x
    x = 5,139,351.50/3,456.16
  6. Step 6: Final answer
    x = 1,487.01

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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.