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Finding the Fourth Proportional to 5,214.15, 7,813.48 and 2,741.47

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Solution

The fourth proportional to 5,214.15, 7,813.48 and 2,741.47 is: 4,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.15 : 7,813.48 = 2,741.47 : x
  2. Step 2: Convert to fraction form
    5,214.15/7,813.48 = 2,741.47/x
  3. Step 3: Cross multiply
    5,214.15x = 7,813.48 × 2,741.47
  4. Step 4: Simplify right side
    5,214.15x = 21,420,421.02
  5. Step 5: Solve for x
    x = 21,420,421.02/5,214.15
  6. Step 6: Final answer
    x = 4,108.13

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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.