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Finding the Fourth Proportional to 4,824.36, 6,651.78 and 4,077

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Solution

The fourth proportional to 4,824.36, 6,651.78 and 4,077 is: 5,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.36 : 6,651.78 = 4,077 : x
  2. Step 2: Convert to fraction form
    4,824.36/6,651.78 = 4,077/x
  3. Step 3: Cross multiply
    4,824.36x = 6,651.78 × 4,077
  4. Step 4: Simplify right side
    4,824.36x = 27,119,307.06
  5. Step 5: Solve for x
    x = 27,119,307.06/4,824.36
  6. Step 6: Final answer
    x = 5,621.33

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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.