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Finding the Fourth Proportional to 3,568.96, 4,924.38 and 2,152.72

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Solution

The fourth proportional to 3,568.96, 4,924.38 and 2,152.72 is: 2,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.96 : 4,924.38 = 2,152.72 : x
  2. Step 2: Convert to fraction form
    3,568.96/4,924.38 = 2,152.72/x
  3. Step 3: Cross multiply
    3,568.96x = 4,924.38 × 2,152.72
  4. Step 4: Simplify right side
    3,568.96x = 10,600,811.31
  5. Step 5: Solve for x
    x = 10,600,811.31/3,568.96
  6. Step 6: Final answer
    x = 2,970.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.