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Finding the Fourth Proportional to 3,568.86, 4,924.40 and 2,152.17

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Solution

The fourth proportional to 3,568.86, 4,924.40 and 2,152.17 is: 2,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.86 : 4,924.40 = 2,152.17 : x
  2. Step 2: Convert to fraction form
    3,568.86/4,924.40 = 2,152.17/x
  3. Step 3: Cross multiply
    3,568.86x = 4,924.40 × 2,152.17
  4. Step 4: Simplify right side
    3,568.86x = 10,598,135.19
  5. Step 5: Solve for x
    x = 10,598,135.19/3,568.86
  6. Step 6: Final answer
    x = 2,969.61

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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.