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Finding the Fourth Proportional to 3,467.79, 5,199.85 and 1,712.71

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Solution

The fourth proportional to 3,467.79, 5,199.85 and 1,712.71 is: 2,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.79 : 5,199.85 = 1,712.71 : x
  2. Step 2: Convert to fraction form
    3,467.79/5,199.85 = 1,712.71/x
  3. Step 3: Cross multiply
    3,467.79x = 5,199.85 × 1,712.71
  4. Step 4: Simplify right side
    3,467.79x = 8,905,835.09
  5. Step 5: Solve for x
    x = 8,905,835.09/3,467.79
  6. Step 6: Final answer
    x = 2,568.16

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Why These Related Problems?

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