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Finding the Fourth Proportional to 3,568.66, 4,924.82 and 2,152.33

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Solution

The fourth proportional to 3,568.66, 4,924.82 and 2,152.33 is: 2,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.66 : 4,924.82 = 2,152.33 : x
  2. Step 2: Convert to fraction form
    3,568.66/4,924.82 = 2,152.33/x
  3. Step 3: Cross multiply
    3,568.66x = 4,924.82 × 2,152.33
  4. Step 4: Simplify right side
    3,568.66x = 10,599,837.83
  5. Step 5: Solve for x
    x = 10,599,837.83/3,568.66
  6. Step 6: Final answer
    x = 2,970.26

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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.