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Finding the Fourth Proportional to 3,652.76, 5,476.41 and 1,463.03

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Solution

The fourth proportional to 3,652.76, 5,476.41 and 1,463.03 is: 2,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.76 : 5,476.41 = 1,463.03 : x
  2. Step 2: Convert to fraction form
    3,652.76/5,476.41 = 1,463.03/x
  3. Step 3: Cross multiply
    3,652.76x = 5,476.41 × 1,463.03
  4. Step 4: Simplify right side
    3,652.76x = 8,012,145.28
  5. Step 5: Solve for x
    x = 8,012,145.28/3,652.76
  6. Step 6: Final answer
    x = 2,193.45

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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.