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Finding the Fourth Proportional to 4,200.32, 6,300.60 and 1,427

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Solution

The fourth proportional to 4,200.32, 6,300.60 and 1,427 is: 2,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.32 : 6,300.60 = 1,427 : x
  2. Step 2: Convert to fraction form
    4,200.32/6,300.60 = 1,427/x
  3. Step 3: Cross multiply
    4,200.32x = 6,300.60 × 1,427
  4. Step 4: Simplify right side
    4,200.32x = 8,990,956.20
  5. Step 5: Solve for x
    x = 8,990,956.20/4,200.32
  6. Step 6: Final answer
    x = 2,140.54

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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.