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Finding the Fourth Proportional to 6,224.74, 8,590.14 and 3,430.24

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Solution

The fourth proportional to 6,224.74, 8,590.14 and 3,430.24 is: 4,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.74 : 8,590.14 = 3,430.24 : x
  2. Step 2: Convert to fraction form
    6,224.74/8,590.14 = 3,430.24/x
  3. Step 3: Cross multiply
    6,224.74x = 8,590.14 × 3,430.24
  4. Step 4: Simplify right side
    6,224.74x = 29,466,241.83
  5. Step 5: Solve for x
    x = 29,466,241.83/6,224.74
  6. Step 6: Final answer
    x = 4,733.73

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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.