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Finding the Fourth Proportional to 4,214.08, 6,322.08 and 1,292.80

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Solution

The fourth proportional to 4,214.08, 6,322.08 and 1,292.80 is: 1,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.08 : 6,322.08 = 1,292.80 : x
  2. Step 2: Convert to fraction form
    4,214.08/6,322.08 = 1,292.80/x
  3. Step 3: Cross multiply
    4,214.08x = 6,322.08 × 1,292.80
  4. Step 4: Simplify right side
    4,214.08x = 8,173,185.02
  5. Step 5: Solve for x
    x = 8,173,185.02/4,214.08
  6. Step 6: Final answer
    x = 1,939.49

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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.