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Finding the Fourth Proportional to 5,710.72, 7,884.48 and 3,589.18

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Solution

The fourth proportional to 5,710.72, 7,884.48 and 3,589.18 is: 4,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.72 : 7,884.48 = 3,589.18 : x
  2. Step 2: Convert to fraction form
    5,710.72/7,884.48 = 3,589.18/x
  3. Step 3: Cross multiply
    5,710.72x = 7,884.48 × 3,589.18
  4. Step 4: Simplify right side
    5,710.72x = 28,298,817.93
  5. Step 5: Solve for x
    x = 28,298,817.93/5,710.72
  6. Step 6: Final answer
    x = 4,955.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.