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Finding the Fourth Proportional to 4,194.48, 6,292.12 and 1,421.66

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Solution

The fourth proportional to 4,194.48, 6,292.12 and 1,421.66 is: 2,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.48 : 6,292.12 = 1,421.66 : x
  2. Step 2: Convert to fraction form
    4,194.48/6,292.12 = 1,421.66/x
  3. Step 3: Cross multiply
    4,194.48x = 6,292.12 × 1,421.66
  4. Step 4: Simplify right side
    4,194.48x = 8,945,255.32
  5. Step 5: Solve for x
    x = 8,945,255.32/4,194.48
  6. Step 6: Final answer
    x = 2,132.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.