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Finding the Fourth Proportional to 4,214.35, 6,320.35 and 1,253.44

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Solution

The fourth proportional to 4,214.35, 6,320.35 and 1,253.44 is: 1,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.35 : 6,320.35 = 1,253.44 : x
  2. Step 2: Convert to fraction form
    4,214.35/6,320.35 = 1,253.44/x
  3. Step 3: Cross multiply
    4,214.35x = 6,320.35 × 1,253.44
  4. Step 4: Simplify right side
    4,214.35x = 7,922,179.50
  5. Step 5: Solve for x
    x = 7,922,179.50/4,214.35
  6. Step 6: Final answer
    x = 1,879.81

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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.