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Finding the Fourth Proportional to 5,689.81, 8,534.71 and 1,794.52

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Solution

The fourth proportional to 5,689.81, 8,534.71 and 1,794.52 is: 2,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.81 : 8,534.71 = 1,794.52 : x
  2. Step 2: Convert to fraction form
    5,689.81/8,534.71 = 1,794.52/x
  3. Step 3: Cross multiply
    5,689.81x = 8,534.71 × 1,794.52
  4. Step 4: Simplify right side
    5,689.81x = 15,315,660.63
  5. Step 5: Solve for x
    x = 15,315,660.63/5,689.81
  6. Step 6: Final answer
    x = 2,691.77

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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.