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Finding the Fourth Proportional to 3,735.68, 5,607.18 and 2,849.94

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Solution

The fourth proportional to 3,735.68, 5,607.18 and 2,849.94 is: 4,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.68 : 5,607.18 = 2,849.94 : x
  2. Step 2: Convert to fraction form
    3,735.68/5,607.18 = 2,849.94/x
  3. Step 3: Cross multiply
    3,735.68x = 5,607.18 × 2,849.94
  4. Step 4: Simplify right side
    3,735.68x = 15,980,126.57
  5. Step 5: Solve for x
    x = 15,980,126.57/3,735.68
  6. Step 6: Final answer
    x = 4,277.71

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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.