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Finding the Fourth Proportional to 4,625.74, 6,381.62 and 3,364.04

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Solution

The fourth proportional to 4,625.74, 6,381.62 and 3,364.04 is: 4,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.74 : 6,381.62 = 3,364.04 : x
  2. Step 2: Convert to fraction form
    4,625.74/6,381.62 = 3,364.04/x
  3. Step 3: Cross multiply
    4,625.74x = 6,381.62 × 3,364.04
  4. Step 4: Simplify right side
    4,625.74x = 21,468,024.94
  5. Step 5: Solve for x
    x = 21,468,024.94/4,625.74
  6. Step 6: Final answer
    x = 4,640.99

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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.