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Finding the Fourth Proportional to 4,884.74, 6,741.60 and 2,789

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Solution

The fourth proportional to 4,884.74, 6,741.60 and 2,789 is: 3,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.74 : 6,741.60 = 2,789 : x
  2. Step 2: Convert to fraction form
    4,884.74/6,741.60 = 2,789/x
  3. Step 3: Cross multiply
    4,884.74x = 6,741.60 × 2,789
  4. Step 4: Simplify right side
    4,884.74x = 18,802,322.40
  5. Step 5: Solve for x
    x = 18,802,322.40/4,884.74
  6. Step 6: Final answer
    x = 3,849.20

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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.