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Finding the Fourth Proportional to 6,061.75, 8,364.62 and 3,409.10

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Solution

The fourth proportional to 6,061.75, 8,364.62 and 3,409.10 is: 4,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.75 : 8,364.62 = 3,409.10 : x
  2. Step 2: Convert to fraction form
    6,061.75/8,364.62 = 3,409.10/x
  3. Step 3: Cross multiply
    6,061.75x = 8,364.62 × 3,409.10
  4. Step 4: Simplify right side
    6,061.75x = 28,515,767.17
  5. Step 5: Solve for x
    x = 28,515,767.17/6,061.75
  6. Step 6: Final answer
    x = 4,704.22

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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.