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Finding the Fourth Proportional to 3,063.72, 4,595.52 and 755.22

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Solution

The fourth proportional to 3,063.72, 4,595.52 and 755.22 is: 1,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.72 : 4,595.52 = 755.22 : x
  2. Step 2: Convert to fraction form
    3,063.72/4,595.52 = 755.22/x
  3. Step 3: Cross multiply
    3,063.72x = 4,595.52 × 755.22
  4. Step 4: Simplify right side
    3,063.72x = 3,470,628.61
  5. Step 5: Solve for x
    x = 3,470,628.61/3,063.72
  6. Step 6: Final answer
    x = 1,132.82

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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.