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Finding the Fourth Proportional to 6,203.50, 8,560.86 and 3,409

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Solution

The fourth proportional to 6,203.50, 8,560.86 and 3,409 is: 4,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.50 : 8,560.86 = 3,409 : x
  2. Step 2: Convert to fraction form
    6,203.50/8,560.86 = 3,409/x
  3. Step 3: Cross multiply
    6,203.50x = 8,560.86 × 3,409
  4. Step 4: Simplify right side
    6,203.50x = 29,183,971.74
  5. Step 5: Solve for x
    x = 29,183,971.74/6,203.50
  6. Step 6: Final answer
    x = 4,704.44

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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.