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Finding the Fourth Proportional to 5,738.21, 8,606.22 and 1,577.17

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Solution

The fourth proportional to 5,738.21, 8,606.22 and 1,577.17 is: 2,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.21 : 8,606.22 = 1,577.17 : x
  2. Step 2: Convert to fraction form
    5,738.21/8,606.22 = 1,577.17/x
  3. Step 3: Cross multiply
    5,738.21x = 8,606.22 × 1,577.17
  4. Step 4: Simplify right side
    5,738.21x = 13,573,476.84
  5. Step 5: Solve for x
    x = 13,573,476.84/5,738.21
  6. Step 6: Final answer
    x = 2,365.46

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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.