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Finding the Fourth Proportional to 3,729.76, 5,594.63 and 1,538.43

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Solution

The fourth proportional to 3,729.76, 5,594.63 and 1,538.43 is: 2,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.76 : 5,594.63 = 1,538.43 : x
  2. Step 2: Convert to fraction form
    3,729.76/5,594.63 = 1,538.43/x
  3. Step 3: Cross multiply
    3,729.76x = 5,594.63 × 1,538.43
  4. Step 4: Simplify right side
    3,729.76x = 8,606,942.78
  5. Step 5: Solve for x
    x = 8,606,942.78/3,729.76
  6. Step 6: Final answer
    x = 2,307.64

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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.