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Finding the Fourth Proportional to 6,089.12, 8,402.96 and 3,436.52

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Solution

The fourth proportional to 6,089.12, 8,402.96 and 3,436.52 is: 4,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.12 : 8,402.96 = 3,436.52 : x
  2. Step 2: Convert to fraction form
    6,089.12/8,402.96 = 3,436.52/x
  3. Step 3: Cross multiply
    6,089.12x = 8,402.96 × 3,436.52
  4. Step 4: Simplify right side
    6,089.12x = 28,876,940.10
  5. Step 5: Solve for x
    x = 28,876,940.10/6,089.12
  6. Step 6: Final answer
    x = 4,742.38

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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.