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Finding the Fourth Proportional to 4,674, 7,012.20 and 1,752.54

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Solution

The fourth proportional to 4,674, 7,012.20 and 1,752.54 is: 2,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674 : 7,012.20 = 1,752.54 : x
  2. Step 2: Convert to fraction form
    4,674/7,012.20 = 1,752.54/x
  3. Step 3: Cross multiply
    4,674x = 7,012.20 × 1,752.54
  4. Step 4: Simplify right side
    4,674x = 12,289,160.99
  5. Step 5: Solve for x
    x = 12,289,160.99/4,674
  6. Step 6: Final answer
    x = 2,629.26

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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.