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Finding the Fourth Proportional to 5,405.17, 8,108.43 and 1,706.86

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Solution

The fourth proportional to 5,405.17, 8,108.43 and 1,706.86 is: 2,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.17 : 8,108.43 = 1,706.86 : x
  2. Step 2: Convert to fraction form
    5,405.17/8,108.43 = 1,706.86/x
  3. Step 3: Cross multiply
    5,405.17x = 8,108.43 × 1,706.86
  4. Step 4: Simplify right side
    5,405.17x = 13,839,954.83
  5. Step 5: Solve for x
    x = 13,839,954.83/5,405.17
  6. Step 6: Final answer
    x = 2,560.50

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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.