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Finding the Fourth Proportional to 4,194.95, 6,293.37 and 1,421.45

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Solution

The fourth proportional to 4,194.95, 6,293.37 and 1,421.45 is: 2,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.95 : 6,293.37 = 1,421.45 : x
  2. Step 2: Convert to fraction form
    4,194.95/6,293.37 = 1,421.45/x
  3. Step 3: Cross multiply
    4,194.95x = 6,293.37 × 1,421.45
  4. Step 4: Simplify right side
    4,194.95x = 8,945,679.32
  5. Step 5: Solve for x
    x = 8,945,679.32/4,194.95
  6. Step 6: Final answer
    x = 2,132.49

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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.