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Finding the Fourth Proportional to 3,665.57, 5,491.97 and 1,907.88

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Solution

The fourth proportional to 3,665.57, 5,491.97 and 1,907.88 is: 2,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.57 : 5,491.97 = 1,907.88 : x
  2. Step 2: Convert to fraction form
    3,665.57/5,491.97 = 1,907.88/x
  3. Step 3: Cross multiply
    3,665.57x = 5,491.97 × 1,907.88
  4. Step 4: Simplify right side
    3,665.57x = 10,478,024.49
  5. Step 5: Solve for x
    x = 10,478,024.49/3,665.57
  6. Step 6: Final answer
    x = 2,858.50

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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.