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Finding the Fourth Proportional to 5,913.56, 8,160.68 and 3,395.94

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Solution

The fourth proportional to 5,913.56, 8,160.68 and 3,395.94 is: 4,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.56 : 8,160.68 = 3,395.94 : x
  2. Step 2: Convert to fraction form
    5,913.56/8,160.68 = 3,395.94/x
  3. Step 3: Cross multiply
    5,913.56x = 8,160.68 × 3,395.94
  4. Step 4: Simplify right side
    5,913.56x = 27,713,162.66
  5. Step 5: Solve for x
    x = 27,713,162.66/5,913.56
  6. Step 6: Final answer
    x = 4,686.38

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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.