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Finding the Fourth Proportional to 4,889.71, 6,741.46 and 3,118.24

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Solution

The fourth proportional to 4,889.71, 6,741.46 and 3,118.24 is: 4,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.71 : 6,741.46 = 3,118.24 : x
  2. Step 2: Convert to fraction form
    4,889.71/6,741.46 = 3,118.24/x
  3. Step 3: Cross multiply
    4,889.71x = 6,741.46 × 3,118.24
  4. Step 4: Simplify right side
    4,889.71x = 21,021,490.23
  5. Step 5: Solve for x
    x = 21,021,490.23/4,889.71
  6. Step 6: Final answer
    x = 4,299.13

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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.