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Finding the Fourth Proportional to 4,087.98, 6,127.71 and 1,894.90

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Solution

The fourth proportional to 4,087.98, 6,127.71 and 1,894.90 is: 2,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.98 : 6,127.71 = 1,894.90 : x
  2. Step 2: Convert to fraction form
    4,087.98/6,127.71 = 1,894.90/x
  3. Step 3: Cross multiply
    4,087.98x = 6,127.71 × 1,894.90
  4. Step 4: Simplify right side
    4,087.98x = 11,611,397.68
  5. Step 5: Solve for x
    x = 11,611,397.68/4,087.98
  6. Step 6: Final answer
    x = 2,840.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.