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Finding the Fourth Proportional to 4,423.36, 6,635.95 and 1,826.30

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Solution

The fourth proportional to 4,423.36, 6,635.95 and 1,826.30 is: 2,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,423.36 : 6,635.95 = 1,826.30 : x
  2. Step 2: Convert to fraction form
    4,423.36/6,635.95 = 1,826.30/x
  3. Step 3: Cross multiply
    4,423.36x = 6,635.95 × 1,826.30
  4. Step 4: Simplify right side
    4,423.36x = 12,119,215.32
  5. Step 5: Solve for x
    x = 12,119,215.32/4,423.36
  6. Step 6: Final answer
    x = 2,739.82

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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.