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Finding the Fourth Proportional to 5,215.68, 7,813.43 and 2,900.16

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Solution

The fourth proportional to 5,215.68, 7,813.43 and 2,900.16 is: 4,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.68 : 7,813.43 = 2,900.16 : x
  2. Step 2: Convert to fraction form
    5,215.68/7,813.43 = 2,900.16/x
  3. Step 3: Cross multiply
    5,215.68x = 7,813.43 × 2,900.16
  4. Step 4: Simplify right side
    5,215.68x = 22,660,197.15
  5. Step 5: Solve for x
    x = 22,660,197.15/5,215.68
  6. Step 6: Final answer
    x = 4,344.63

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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.