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Finding the Fourth Proportional to 5,084.65, 7,622.65 and 1,962.91

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Solution

The fourth proportional to 5,084.65, 7,622.65 and 1,962.91 is: 2,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.65 : 7,622.65 = 1,962.91 : x
  2. Step 2: Convert to fraction form
    5,084.65/7,622.65 = 1,962.91/x
  3. Step 3: Cross multiply
    5,084.65x = 7,622.65 × 1,962.91
  4. Step 4: Simplify right side
    5,084.65x = 14,962,575.91
  5. Step 5: Solve for x
    x = 14,962,575.91/5,084.65
  6. Step 6: Final answer
    x = 2,942.70

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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.