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Finding the Fourth Proportional to 5,637.75, 8,462.03 and 2,349.96

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Solution

The fourth proportional to 5,637.75, 8,462.03 and 2,349.96 is: 3,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.75 : 8,462.03 = 2,349.96 : x
  2. Step 2: Convert to fraction form
    5,637.75/8,462.03 = 2,349.96/x
  3. Step 3: Cross multiply
    5,637.75x = 8,462.03 × 2,349.96
  4. Step 4: Simplify right side
    5,637.75x = 19,885,420.27
  5. Step 5: Solve for x
    x = 19,885,420.27/5,637.75
  6. Step 6: Final answer
    x = 3,527.19

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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.