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Finding the Fourth Proportional to 4,425.45, 6,638.17 and 1,828.45

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Solution

The fourth proportional to 4,425.45, 6,638.17 and 1,828.45 is: 2,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.45 : 6,638.17 = 1,828.45 : x
  2. Step 2: Convert to fraction form
    4,425.45/6,638.17 = 1,828.45/x
  3. Step 3: Cross multiply
    4,425.45x = 6,638.17 × 1,828.45
  4. Step 4: Simplify right side
    4,425.45x = 12,137,565.66
  5. Step 5: Solve for x
    x = 12,137,565.66/4,425.45
  6. Step 6: Final answer
    x = 2,742.68

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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.