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Finding the Fourth Proportional to 3,467.02, 4,785.15 and 3,256.02

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Solution

The fourth proportional to 3,467.02, 4,785.15 and 3,256.02 is: 4,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.02 : 4,785.15 = 3,256.02 : x
  2. Step 2: Convert to fraction form
    3,467.02/4,785.15 = 3,256.02/x
  3. Step 3: Cross multiply
    3,467.02x = 4,785.15 × 3,256.02
  4. Step 4: Simplify right side
    3,467.02x = 15,580,544.10
  5. Step 5: Solve for x
    x = 15,580,544.10/3,467.02
  6. Step 6: Final answer
    x = 4,493.93

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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.