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Finding the Fourth Proportional to 6,224.92, 8,590.24 and 3,430.40

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Solution

The fourth proportional to 6,224.92, 8,590.24 and 3,430.40 is: 4,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.92 : 8,590.24 = 3,430.40 : x
  2. Step 2: Convert to fraction form
    6,224.92/8,590.24 = 3,430.40/x
  3. Step 3: Cross multiply
    6,224.92x = 8,590.24 × 3,430.40
  4. Step 4: Simplify right side
    6,224.92x = 29,467,959.30
  5. Step 5: Solve for x
    x = 29,467,959.30/6,224.92
  6. Step 6: Final answer
    x = 4,733.87

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