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Finding the Fourth Proportional to 4,548.78, 6,824.79 and 2,084.22

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Solution

The fourth proportional to 4,548.78, 6,824.79 and 2,084.22 is: 3,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.78 : 6,824.79 = 2,084.22 : x
  2. Step 2: Convert to fraction form
    4,548.78/6,824.79 = 2,084.22/x
  3. Step 3: Cross multiply
    4,548.78x = 6,824.79 × 2,084.22
  4. Step 4: Simplify right side
    4,548.78x = 14,224,363.81
  5. Step 5: Solve for x
    x = 14,224,363.81/4,548.78
  6. Step 6: Final answer
    x = 3,127.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.