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Finding the Fourth Proportional to 5,707.43, 8,544.71 and 4,216.62

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Solution

The fourth proportional to 5,707.43, 8,544.71 and 4,216.62 is: 6,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.43 : 8,544.71 = 4,216.62 : x
  2. Step 2: Convert to fraction form
    5,707.43/8,544.71 = 4,216.62/x
  3. Step 3: Cross multiply
    5,707.43x = 8,544.71 × 4,216.62
  4. Step 4: Simplify right side
    5,707.43x = 36,029,813.95
  5. Step 5: Solve for x
    x = 36,029,813.95/5,707.43
  6. Step 6: Final answer
    x = 6,312.79

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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.