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Finding the Fourth Proportional to 5,614.86, 7,749.27 and 4,215.18

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Solution

The fourth proportional to 5,614.86, 7,749.27 and 4,215.18 is: 5,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.86 : 7,749.27 = 4,215.18 : x
  2. Step 2: Convert to fraction form
    5,614.86/7,749.27 = 4,215.18/x
  3. Step 3: Cross multiply
    5,614.86x = 7,749.27 × 4,215.18
  4. Step 4: Simplify right side
    5,614.86x = 32,664,567.92
  5. Step 5: Solve for x
    x = 32,664,567.92/5,614.86
  6. Step 6: Final answer
    x = 5,817.52

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