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Finding the Fourth Proportional to 4,491.40, 6,737.10 and 2,523.10

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Solution

The fourth proportional to 4,491.40, 6,737.10 and 2,523.10 is: 3,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.40 : 6,737.10 = 2,523.10 : x
  2. Step 2: Convert to fraction form
    4,491.40/6,737.10 = 2,523.10/x
  3. Step 3: Cross multiply
    4,491.40x = 6,737.10 × 2,523.10
  4. Step 4: Simplify right side
    4,491.40x = 16,998,377.01
  5. Step 5: Solve for x
    x = 16,998,377.01/4,491.40
  6. Step 6: Final answer
    x = 3,784.65

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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.