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Finding the Fourth Proportional to 5,902.93, 8,846.16 and 3,123.55

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Solution

The fourth proportional to 5,902.93, 8,846.16 and 3,123.55 is: 4,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.93 : 8,846.16 = 3,123.55 : x
  2. Step 2: Convert to fraction form
    5,902.93/8,846.16 = 3,123.55/x
  3. Step 3: Cross multiply
    5,902.93x = 8,846.16 × 3,123.55
  4. Step 4: Simplify right side
    5,902.93x = 27,631,423.07
  5. Step 5: Solve for x
    x = 27,631,423.07/5,902.93
  6. Step 6: Final answer
    x = 4,680.97

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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.