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Finding the Fourth Proportional to 4,968.14, 6,853.82 and 3,475.51

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Solution

The fourth proportional to 4,968.14, 6,853.82 and 3,475.51 is: 4,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.14 : 6,853.82 = 3,475.51 : x
  2. Step 2: Convert to fraction form
    4,968.14/6,853.82 = 3,475.51/x
  3. Step 3: Cross multiply
    4,968.14x = 6,853.82 × 3,475.51
  4. Step 4: Simplify right side
    4,968.14x = 23,820,485.44
  5. Step 5: Solve for x
    x = 23,820,485.44/4,968.14
  6. Step 6: Final answer
    x = 4,794.65

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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.