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Finding the Fourth Proportional to 6,089.85, 8,403.97 and 3,437.25

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Solution

The fourth proportional to 6,089.85, 8,403.97 and 3,437.25 is: 4,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.85 : 8,403.97 = 3,437.25 : x
  2. Step 2: Convert to fraction form
    6,089.85/8,403.97 = 3,437.25/x
  3. Step 3: Cross multiply
    6,089.85x = 8,403.97 × 3,437.25
  4. Step 4: Simplify right side
    6,089.85x = 28,886,545.88
  5. Step 5: Solve for x
    x = 28,886,545.88/6,089.85
  6. Step 6: Final answer
    x = 4,743.39

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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.