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Finding the Fourth Proportional to 4,668.20, 7,003.50 and 1,746.52

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Solution

The fourth proportional to 4,668.20, 7,003.50 and 1,746.52 is: 2,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.20 : 7,003.50 = 1,746.52 : x
  2. Step 2: Convert to fraction form
    4,668.20/7,003.50 = 1,746.52/x
  3. Step 3: Cross multiply
    4,668.20x = 7,003.50 × 1,746.52
  4. Step 4: Simplify right side
    4,668.20x = 12,231,752.82
  5. Step 5: Solve for x
    x = 12,231,752.82/4,668.20
  6. Step 6: Final answer
    x = 2,620.23

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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.