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Finding the Fourth Proportional to 5,846.86, 8,770.47 and 2,558.26

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Solution

The fourth proportional to 5,846.86, 8,770.47 and 2,558.26 is: 3,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.86 : 8,770.47 = 2,558.26 : x
  2. Step 2: Convert to fraction form
    5,846.86/8,770.47 = 2,558.26/x
  3. Step 3: Cross multiply
    5,846.86x = 8,770.47 × 2,558.26
  4. Step 4: Simplify right side
    5,846.86x = 22,437,142.58
  5. Step 5: Solve for x
    x = 22,437,142.58/5,846.86
  6. Step 6: Final answer
    x = 3,837.47

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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.