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Finding the Fourth Proportional to 5,577.88, 7,698.78 and 4,087.96

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Solution

The fourth proportional to 5,577.88, 7,698.78 and 4,087.96 is: 5,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.88 : 7,698.78 = 4,087.96 : x
  2. Step 2: Convert to fraction form
    5,577.88/7,698.78 = 4,087.96/x
  3. Step 3: Cross multiply
    5,577.88x = 7,698.78 × 4,087.96
  4. Step 4: Simplify right side
    5,577.88x = 31,472,304.69
  5. Step 5: Solve for x
    x = 31,472,304.69/5,577.88
  6. Step 6: Final answer
    x = 5,642.34

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