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Finding the Fourth Proportional to 4,308, 6,460.32 and 2,227.20

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Solution

The fourth proportional to 4,308, 6,460.32 and 2,227.20 is: 3,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308 : 6,460.32 = 2,227.20 : x
  2. Step 2: Convert to fraction form
    4,308/6,460.32 = 2,227.20/x
  3. Step 3: Cross multiply
    4,308x = 6,460.32 × 2,227.20
  4. Step 4: Simplify right side
    4,308x = 14,388,424.70
  5. Step 5: Solve for x
    x = 14,388,424.70/4,308
  6. Step 6: Final answer
    x = 3,339.93

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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.