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Finding the Fourth Proportional to 5,854.39, 8,782.42 and 1,694.43

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Solution

The fourth proportional to 5,854.39, 8,782.42 and 1,694.43 is: 2,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.39 : 8,782.42 = 1,694.43 : x
  2. Step 2: Convert to fraction form
    5,854.39/8,782.42 = 1,694.43/x
  3. Step 3: Cross multiply
    5,854.39x = 8,782.42 × 1,694.43
  4. Step 4: Simplify right side
    5,854.39x = 14,881,195.92
  5. Step 5: Solve for x
    x = 14,881,195.92/5,854.39
  6. Step 6: Final answer
    x = 2,541.89

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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.