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Finding the Fourth Proportional to 5,134.50, 7,702.12 and 2,056.50

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Solution

The fourth proportional to 5,134.50, 7,702.12 and 2,056.50 is: 3,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.50 : 7,702.12 = 2,056.50 : x
  2. Step 2: Convert to fraction form
    5,134.50/7,702.12 = 2,056.50/x
  3. Step 3: Cross multiply
    5,134.50x = 7,702.12 × 2,056.50
  4. Step 4: Simplify right side
    5,134.50x = 15,839,409.78
  5. Step 5: Solve for x
    x = 15,839,409.78/5,134.50
  6. Step 6: Final answer
    x = 3,084.90

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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.