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Finding the Fourth Proportional to 3,467.50, 4,785.17 and 2,225.50

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Solution

The fourth proportional to 3,467.50, 4,785.17 and 2,225.50 is: 3,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.50 : 4,785.17 = 2,225.50 : x
  2. Step 2: Convert to fraction form
    3,467.50/4,785.17 = 2,225.50/x
  3. Step 3: Cross multiply
    3,467.50x = 4,785.17 × 2,225.50
  4. Step 4: Simplify right side
    3,467.50x = 10,649,395.84
  5. Step 5: Solve for x
    x = 10,649,395.84/3,467.50
  6. Step 6: Final answer
    x = 3,071.20

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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.