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Finding the Fourth Proportional to 5,654.96, 7,803.31 and 3,137.06

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Solution

The fourth proportional to 5,654.96, 7,803.31 and 3,137.06 is: 4,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.96 : 7,803.31 = 3,137.06 : x
  2. Step 2: Convert to fraction form
    5,654.96/7,803.31 = 3,137.06/x
  3. Step 3: Cross multiply
    5,654.96x = 7,803.31 × 3,137.06
  4. Step 4: Simplify right side
    5,654.96x = 24,479,396.97
  5. Step 5: Solve for x
    x = 24,479,396.97/5,654.96
  6. Step 6: Final answer
    x = 4,328.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.