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Finding the Fourth Proportional to 4,128.50, 6,191.13 and 1,529.66

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Solution

The fourth proportional to 4,128.50, 6,191.13 and 1,529.66 is: 2,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.50 : 6,191.13 = 1,529.66 : x
  2. Step 2: Convert to fraction form
    4,128.50/6,191.13 = 1,529.66/x
  3. Step 3: Cross multiply
    4,128.50x = 6,191.13 × 1,529.66
  4. Step 4: Simplify right side
    4,128.50x = 9,470,323.92
  5. Step 5: Solve for x
    x = 9,470,323.92/4,128.50
  6. Step 6: Final answer
    x = 2,293.89

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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.