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Finding the Fourth Proportional to 5,834.17, 8,743.94 and 4,596.69

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Solution

The fourth proportional to 5,834.17, 8,743.94 and 4,596.69 is: 6,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.17 : 8,743.94 = 4,596.69 : x
  2. Step 2: Convert to fraction form
    5,834.17/8,743.94 = 4,596.69/x
  3. Step 3: Cross multiply
    5,834.17x = 8,743.94 × 4,596.69
  4. Step 4: Simplify right side
    5,834.17x = 40,193,158.58
  5. Step 5: Solve for x
    x = 40,193,158.58/5,834.17
  6. Step 6: Final answer
    x = 6,889.27

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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.