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Finding the Fourth Proportional to 4,200.68, 6,300.42 and 1,427.45

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Solution

The fourth proportional to 4,200.68, 6,300.42 and 1,427.45 is: 2,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.68 : 6,300.42 = 1,427.45 : x
  2. Step 2: Convert to fraction form
    4,200.68/6,300.42 = 1,427.45/x
  3. Step 3: Cross multiply
    4,200.68x = 6,300.42 × 1,427.45
  4. Step 4: Simplify right side
    4,200.68x = 8,993,497.67
  5. Step 5: Solve for x
    x = 8,993,497.67/4,200.68
  6. Step 6: Final answer
    x = 2,140.96

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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.