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Finding the Fourth Proportional to 5,223.70, 7,842.50 and 3,034

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Solution

The fourth proportional to 5,223.70, 7,842.50 and 3,034 is: 4,555.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.70 : 7,842.50 = 3,034 : x
  2. Step 2: Convert to fraction form
    5,223.70/7,842.50 = 3,034/x
  3. Step 3: Cross multiply
    5,223.70x = 7,842.50 × 3,034
  4. Step 4: Simplify right side
    5,223.70x = 23,794,145
  5. Step 5: Solve for x
    x = 23,794,145/5,223.70
  6. Step 6: Final answer
    x = 4,555.04

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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.