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Finding the Fourth Proportional to 6,224.95, 8,590.27 and 3,430.39

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Solution

The fourth proportional to 6,224.95, 8,590.27 and 3,430.39 is: 4,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.95 : 8,590.27 = 3,430.39 : x
  2. Step 2: Convert to fraction form
    6,224.95/8,590.27 = 3,430.39/x
  3. Step 3: Cross multiply
    6,224.95x = 8,590.27 × 3,430.39
  4. Step 4: Simplify right side
    6,224.95x = 29,467,976.31
  5. Step 5: Solve for x
    x = 29,467,976.31/6,224.95
  6. Step 6: Final answer
    x = 4,733.85

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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.