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Finding the Fourth Proportional to 5,664.81, 8,490.03 and 3,201.01

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Solution

The fourth proportional to 5,664.81, 8,490.03 and 3,201.01 is: 4,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.81 : 8,490.03 = 3,201.01 : x
  2. Step 2: Convert to fraction form
    5,664.81/8,490.03 = 3,201.01/x
  3. Step 3: Cross multiply
    5,664.81x = 8,490.03 × 3,201.01
  4. Step 4: Simplify right side
    5,664.81x = 27,176,703.46
  5. Step 5: Solve for x
    x = 27,176,703.46/5,664.81
  6. Step 6: Final answer
    x = 4,797.46

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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.