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Finding the Fourth Proportional to 4,087.59, 5,640.99 and 2,894.70

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Solution

The fourth proportional to 4,087.59, 5,640.99 and 2,894.70 is: 3,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.59 : 5,640.99 = 2,894.70 : x
  2. Step 2: Convert to fraction form
    4,087.59/5,640.99 = 2,894.70/x
  3. Step 3: Cross multiply
    4,087.59x = 5,640.99 × 2,894.70
  4. Step 4: Simplify right side
    4,087.59x = 16,328,973.75
  5. Step 5: Solve for x
    x = 16,328,973.75/4,087.59
  6. Step 6: Final answer
    x = 3,994.77

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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.