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Finding the Fourth Proportional to 4,896.75, 6,752.58 and 4,356.71

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Solution

The fourth proportional to 4,896.75, 6,752.58 and 4,356.71 is: 6,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.75 : 6,752.58 = 4,356.71 : x
  2. Step 2: Convert to fraction form
    4,896.75/6,752.58 = 4,356.71/x
  3. Step 3: Cross multiply
    4,896.75x = 6,752.58 × 4,356.71
  4. Step 4: Simplify right side
    4,896.75x = 29,418,999.05
  5. Step 5: Solve for x
    x = 29,418,999.05/4,896.75
  6. Step 6: Final answer
    x = 6,007.86

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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.