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Finding the Fourth Proportional to 4,886.46, 6,743.32 and 2,898

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Solution

The fourth proportional to 4,886.46, 6,743.32 and 2,898 is: 3,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.46 : 6,743.32 = 2,898 : x
  2. Step 2: Convert to fraction form
    4,886.46/6,743.32 = 2,898/x
  3. Step 3: Cross multiply
    4,886.46x = 6,743.32 × 2,898
  4. Step 4: Simplify right side
    4,886.46x = 19,542,141.36
  5. Step 5: Solve for x
    x = 19,542,141.36/4,886.46
  6. Step 6: Final answer
    x = 3,999.24

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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.