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Finding the Fourth Proportional to 4,650.17, 6,974.48 and 1,530.22

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Solution

The fourth proportional to 4,650.17, 6,974.48 and 1,530.22 is: 2,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.17 : 6,974.48 = 1,530.22 : x
  2. Step 2: Convert to fraction form
    4,650.17/6,974.48 = 1,530.22/x
  3. Step 3: Cross multiply
    4,650.17x = 6,974.48 × 1,530.22
  4. Step 4: Simplify right side
    4,650.17x = 10,672,453.91
  5. Step 5: Solve for x
    x = 10,672,453.91/4,650.17
  6. Step 6: Final answer
    x = 2,295.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.