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Finding the Fourth Proportional to 4,746.26, 6,550.07 and 2,858.42

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Solution

The fourth proportional to 4,746.26, 6,550.07 and 2,858.42 is: 3,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.26 : 6,550.07 = 2,858.42 : x
  2. Step 2: Convert to fraction form
    4,746.26/6,550.07 = 2,858.42/x
  3. Step 3: Cross multiply
    4,746.26x = 6,550.07 × 2,858.42
  4. Step 4: Simplify right side
    4,746.26x = 18,722,804.05
  5. Step 5: Solve for x
    x = 18,722,804.05/4,746.26
  6. Step 6: Final answer
    x = 3,944.75

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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.