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Finding the Fourth Proportional to 5,846.32, 8,772.19 and 2,558.98

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Solution

The fourth proportional to 5,846.32, 8,772.19 and 2,558.98 is: 3,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.32 : 8,772.19 = 2,558.98 : x
  2. Step 2: Convert to fraction form
    5,846.32/8,772.19 = 2,558.98/x
  3. Step 3: Cross multiply
    5,846.32x = 8,772.19 × 2,558.98
  4. Step 4: Simplify right side
    5,846.32x = 22,447,830.44
  5. Step 5: Solve for x
    x = 22,447,830.44/5,846.32
  6. Step 6: Final answer
    x = 3,839.65

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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.