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Finding the Fourth Proportional to 5,684.16, 8,513.28 and 5,589.12

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Solution

The fourth proportional to 5,684.16, 8,513.28 and 5,589.12 is: 8,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.16 : 8,513.28 = 5,589.12 : x
  2. Step 2: Convert to fraction form
    5,684.16/8,513.28 = 5,589.12/x
  3. Step 3: Cross multiply
    5,684.16x = 8,513.28 × 5,589.12
  4. Step 4: Simplify right side
    5,684.16x = 47,581,743.51
  5. Step 5: Solve for x
    x = 47,581,743.51/5,684.16
  6. Step 6: Final answer
    x = 8,370.94

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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.