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Finding the Fourth Proportional to 4,503.66, 6,752.85 and 1,729.81

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Solution

The fourth proportional to 4,503.66, 6,752.85 and 1,729.81 is: 2,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.66 : 6,752.85 = 1,729.81 : x
  2. Step 2: Convert to fraction form
    4,503.66/6,752.85 = 1,729.81/x
  3. Step 3: Cross multiply
    4,503.66x = 6,752.85 × 1,729.81
  4. Step 4: Simplify right side
    4,503.66x = 11,681,147.46
  5. Step 5: Solve for x
    x = 11,681,147.46/4,503.66
  6. Step 6: Final answer
    x = 2,593.70

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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.