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Finding the Fourth Proportional to 5,631.48, 8,447.31 and 1,735.88

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Solution

The fourth proportional to 5,631.48, 8,447.31 and 1,735.88 is: 2,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.48 : 8,447.31 = 1,735.88 : x
  2. Step 2: Convert to fraction form
    5,631.48/8,447.31 = 1,735.88/x
  3. Step 3: Cross multiply
    5,631.48x = 8,447.31 × 1,735.88
  4. Step 4: Simplify right side
    5,631.48x = 14,663,474.25
  5. Step 5: Solve for x
    x = 14,663,474.25/5,631.48
  6. Step 6: Final answer
    x = 2,603.84

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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.