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Finding the Fourth Proportional to 4,200.90, 6,300.22 and 1,278.42

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Solution

The fourth proportional to 4,200.90, 6,300.22 and 1,278.42 is: 1,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.90 : 6,300.22 = 1,278.42 : x
  2. Step 2: Convert to fraction form
    4,200.90/6,300.22 = 1,278.42/x
  3. Step 3: Cross multiply
    4,200.90x = 6,300.22 × 1,278.42
  4. Step 4: Simplify right side
    4,200.90x = 8,054,327.25
  5. Step 5: Solve for x
    x = 8,054,327.25/4,200.90
  6. Step 6: Final answer
    x = 1,917.29

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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.