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Finding the Fourth Proportional to 4,209.95, 6,314.15 and 1,577.20

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Solution

The fourth proportional to 4,209.95, 6,314.15 and 1,577.20 is: 2,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.95 : 6,314.15 = 1,577.20 : x
  2. Step 2: Convert to fraction form
    4,209.95/6,314.15 = 1,577.20/x
  3. Step 3: Cross multiply
    4,209.95x = 6,314.15 × 1,577.20
  4. Step 4: Simplify right side
    4,209.95x = 9,958,659.62
  5. Step 5: Solve for x
    x = 9,958,659.62/4,209.95
  6. Step 6: Final answer
    x = 2,365.51

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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.