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Finding the Fourth Proportional to 3,606.64, 5,406.06 and 1,753.63

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Solution

The fourth proportional to 3,606.64, 5,406.06 and 1,753.63 is: 2,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.64 : 5,406.06 = 1,753.63 : x
  2. Step 2: Convert to fraction form
    3,606.64/5,406.06 = 1,753.63/x
  3. Step 3: Cross multiply
    3,606.64x = 5,406.06 × 1,753.63
  4. Step 4: Simplify right side
    3,606.64x = 9,480,229.00
  5. Step 5: Solve for x
    x = 9,480,229.00/3,606.64
  6. Step 6: Final answer
    x = 2,628.55

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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.