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Finding the Fourth Proportional to 3,223.19, 4,834.18 and 1,143.11

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Solution

The fourth proportional to 3,223.19, 4,834.18 and 1,143.11 is: 1,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.19 : 4,834.18 = 1,143.11 : x
  2. Step 2: Convert to fraction form
    3,223.19/4,834.18 = 1,143.11/x
  3. Step 3: Cross multiply
    3,223.19x = 4,834.18 × 1,143.11
  4. Step 4: Simplify right side
    3,223.19x = 5,525,999.50
  5. Step 5: Solve for x
    x = 5,525,999.50/3,223.19
  6. Step 6: Final answer
    x = 1,714.45

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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.