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Finding the Fourth Proportional to 3,223.56, 4,859.47 and 3,009.24

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Solution

The fourth proportional to 3,223.56, 4,859.47 and 3,009.24 is: 4,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.56 : 4,859.47 = 3,009.24 : x
  2. Step 2: Convert to fraction form
    3,223.56/4,859.47 = 3,009.24/x
  3. Step 3: Cross multiply
    3,223.56x = 4,859.47 × 3,009.24
  4. Step 4: Simplify right side
    3,223.56x = 14,623,311.50
  5. Step 5: Solve for x
    x = 14,623,311.50/3,223.56
  6. Step 6: Final answer
    x = 4,536.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.