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Finding the Fourth Proportional to 4,230.07, 6,340.20 and 2,278.16

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Solution

The fourth proportional to 4,230.07, 6,340.20 and 2,278.16 is: 3,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.07 : 6,340.20 = 2,278.16 : x
  2. Step 2: Convert to fraction form
    4,230.07/6,340.20 = 2,278.16/x
  3. Step 3: Cross multiply
    4,230.07x = 6,340.20 × 2,278.16
  4. Step 4: Simplify right side
    4,230.07x = 14,443,990.03
  5. Step 5: Solve for x
    x = 14,443,990.03/4,230.07
  6. Step 6: Final answer
    x = 3,414.60

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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.