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Finding the Fourth Proportional to 4,656.77, 6,427.71 and 2,769.68

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Solution

The fourth proportional to 4,656.77, 6,427.71 and 2,769.68 is: 3,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.77 : 6,427.71 = 2,769.68 : x
  2. Step 2: Convert to fraction form
    4,656.77/6,427.71 = 2,769.68/x
  3. Step 3: Cross multiply
    4,656.77x = 6,427.71 × 2,769.68
  4. Step 4: Simplify right side
    4,656.77x = 17,802,699.83
  5. Step 5: Solve for x
    x = 17,802,699.83/4,656.77
  6. Step 6: Final answer
    x = 3,822.97

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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.