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Finding the Fourth Proportional to 5,617.69, 8,426.53 and 1,513.69

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Solution

The fourth proportional to 5,617.69, 8,426.53 and 1,513.69 is: 2,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.69 : 8,426.53 = 1,513.69 : x
  2. Step 2: Convert to fraction form
    5,617.69/8,426.53 = 1,513.69/x
  3. Step 3: Cross multiply
    5,617.69x = 8,426.53 × 1,513.69
  4. Step 4: Simplify right side
    5,617.69x = 12,755,135.02
  5. Step 5: Solve for x
    x = 12,755,135.02/5,617.69
  6. Step 6: Final answer
    x = 2,270.53

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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.