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Finding the Fourth Proportional to 3,687.02, 5,530.50 and 1,495.24

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Solution

The fourth proportional to 3,687.02, 5,530.50 and 1,495.24 is: 2,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.02 : 5,530.50 = 1,495.24 : x
  2. Step 2: Convert to fraction form
    3,687.02/5,530.50 = 1,495.24/x
  3. Step 3: Cross multiply
    3,687.02x = 5,530.50 × 1,495.24
  4. Step 4: Simplify right side
    3,687.02x = 8,269,424.82
  5. Step 5: Solve for x
    x = 8,269,424.82/3,687.02
  6. Step 6: Final answer
    x = 2,242.85

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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.