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Finding the Fourth Proportional to 5,135.22, 7,706.46 and 4,639.50

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Solution

The fourth proportional to 5,135.22, 7,706.46 and 4,639.50 is: 6,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.22 : 7,706.46 = 4,639.50 : x
  2. Step 2: Convert to fraction form
    5,135.22/7,706.46 = 4,639.50/x
  3. Step 3: Cross multiply
    5,135.22x = 7,706.46 × 4,639.50
  4. Step 4: Simplify right side
    5,135.22x = 35,754,121.17
  5. Step 5: Solve for x
    x = 35,754,121.17/5,135.22
  6. Step 6: Final answer
    x = 6,962.53

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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.