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Finding the Fourth Proportional to 4,651.35, 6,970.69 and 2,568.25

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Solution

The fourth proportional to 4,651.35, 6,970.69 and 2,568.25 is: 3,848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.35 : 6,970.69 = 2,568.25 : x
  2. Step 2: Convert to fraction form
    4,651.35/6,970.69 = 2,568.25/x
  3. Step 3: Cross multiply
    4,651.35x = 6,970.69 × 2,568.25
  4. Step 4: Simplify right side
    4,651.35x = 17,902,474.59
  5. Step 5: Solve for x
    x = 17,902,474.59/4,651.35
  6. Step 6: Final answer
    x = 3,848.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.