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Finding the Fourth Proportional to 4,432.44, 6,644.64 and 2,784

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Solution

The fourth proportional to 4,432.44, 6,644.64 and 2,784 is: 4,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.44 : 6,644.64 = 2,784 : x
  2. Step 2: Convert to fraction form
    4,432.44/6,644.64 = 2,784/x
  3. Step 3: Cross multiply
    4,432.44x = 6,644.64 × 2,784
  4. Step 4: Simplify right side
    4,432.44x = 18,498,677.76
  5. Step 5: Solve for x
    x = 18,498,677.76/4,432.44
  6. Step 6: Final answer
    x = 4,173.48

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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.