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Finding the Fourth Proportional to 5,773.05, 7,966.67 and 3,415.95

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Solution

The fourth proportional to 5,773.05, 7,966.67 and 3,415.95 is: 4,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.05 : 7,966.67 = 3,415.95 : x
  2. Step 2: Convert to fraction form
    5,773.05/7,966.67 = 3,415.95/x
  3. Step 3: Cross multiply
    5,773.05x = 7,966.67 × 3,415.95
  4. Step 4: Simplify right side
    5,773.05x = 27,213,729.31
  5. Step 5: Solve for x
    x = 27,213,729.31/5,773.05
  6. Step 6: Final answer
    x = 4,713.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.