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Finding the Fourth Proportional to 5,790.69, 8,684.28 and 1,894.19

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Solution

The fourth proportional to 5,790.69, 8,684.28 and 1,894.19 is: 2,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.69 : 8,684.28 = 1,894.19 : x
  2. Step 2: Convert to fraction form
    5,790.69/8,684.28 = 1,894.19/x
  3. Step 3: Cross multiply
    5,790.69x = 8,684.28 × 1,894.19
  4. Step 4: Simplify right side
    5,790.69x = 16,449,632.91
  5. Step 5: Solve for x
    x = 16,449,632.91/5,790.69
  6. Step 6: Final answer
    x = 2,840.70

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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.