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Finding the Fourth Proportional to 5,735.12, 8,604 and 1,631.12

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Solution

The fourth proportional to 5,735.12, 8,604 and 1,631.12 is: 2,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.12 : 8,604 = 1,631.12 : x
  2. Step 2: Convert to fraction form
    5,735.12/8,604 = 1,631.12/x
  3. Step 3: Cross multiply
    5,735.12x = 8,604 × 1,631.12
  4. Step 4: Simplify right side
    5,735.12x = 14,034,156.48
  5. Step 5: Solve for x
    x = 14,034,156.48/5,735.12
  6. Step 6: Final answer
    x = 2,447.06

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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.