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Finding the Fourth Proportional to 4,230.64, 6,347.78 and 2,280.56

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Solution

The fourth proportional to 4,230.64, 6,347.78 and 2,280.56 is: 3,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.64 : 6,347.78 = 2,280.56 : x
  2. Step 2: Convert to fraction form
    4,230.64/6,347.78 = 2,280.56/x
  3. Step 3: Cross multiply
    4,230.64x = 6,347.78 × 2,280.56
  4. Step 4: Simplify right side
    4,230.64x = 14,476,493.16
  5. Step 5: Solve for x
    x = 14,476,493.16/4,230.64
  6. Step 6: Final answer
    x = 3,421.82

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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.