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Finding the Fourth Proportional to 3,673.64, 5,511 and 1,076.24

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Solution

The fourth proportional to 3,673.64, 5,511 and 1,076.24 is: 1,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.64 : 5,511 = 1,076.24 : x
  2. Step 2: Convert to fraction form
    3,673.64/5,511 = 1,076.24/x
  3. Step 3: Cross multiply
    3,673.64x = 5,511 × 1,076.24
  4. Step 4: Simplify right side
    3,673.64x = 5,931,158.64
  5. Step 5: Solve for x
    x = 5,931,158.64/3,673.64
  6. Step 6: Final answer
    x = 1,614.52

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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.