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Finding the Fourth Proportional to 6,061.78, 8,364.67 and 3,409.44

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Solution

The fourth proportional to 6,061.78, 8,364.67 and 3,409.44 is: 4,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.78 : 8,364.67 = 3,409.44 : x
  2. Step 2: Convert to fraction form
    6,061.78/8,364.67 = 3,409.44/x
  3. Step 3: Cross multiply
    6,061.78x = 8,364.67 × 3,409.44
  4. Step 4: Simplify right side
    6,061.78x = 28,518,840.48
  5. Step 5: Solve for x
    x = 28,518,840.48/6,061.78
  6. Step 6: Final answer
    x = 4,704.70

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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.