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Finding the Fourth Proportional to 4,423.90, 6,638.86 and 1,826.82

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Solution

The fourth proportional to 4,423.90, 6,638.86 and 1,826.82 is: 2,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,423.90 : 6,638.86 = 1,826.82 : x
  2. Step 2: Convert to fraction form
    4,423.90/6,638.86 = 1,826.82/x
  3. Step 3: Cross multiply
    4,423.90x = 6,638.86 × 1,826.82
  4. Step 4: Simplify right side
    4,423.90x = 12,128,002.23
  5. Step 5: Solve for x
    x = 12,128,002.23/4,423.90
  6. Step 6: Final answer
    x = 2,741.47

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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.