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Finding the Fourth Proportional to 3,820.50, 5,730.75 and 1,223.51

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Solution

The fourth proportional to 3,820.50, 5,730.75 and 1,223.51 is: 1,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.50 : 5,730.75 = 1,223.51 : x
  2. Step 2: Convert to fraction form
    3,820.50/5,730.75 = 1,223.51/x
  3. Step 3: Cross multiply
    3,820.50x = 5,730.75 × 1,223.51
  4. Step 4: Simplify right side
    3,820.50x = 7,011,601.28
  5. Step 5: Solve for x
    x = 7,011,601.28/3,820.50
  6. Step 6: Final answer
    x = 1,835.26

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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.