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Finding the Fourth Proportional to 3,483.70, 5,223.83 and 1,143.27

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Solution

The fourth proportional to 3,483.70, 5,223.83 and 1,143.27 is: 1,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.70 : 5,223.83 = 1,143.27 : x
  2. Step 2: Convert to fraction form
    3,483.70/5,223.83 = 1,143.27/x
  3. Step 3: Cross multiply
    3,483.70x = 5,223.83 × 1,143.27
  4. Step 4: Simplify right side
    3,483.70x = 5,972,242.41
  5. Step 5: Solve for x
    x = 5,972,242.41/3,483.70
  6. Step 6: Final answer
    x = 1,714.34

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1.5x scale

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.