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Finding the Fourth Proportional to 4,463.70, 6,697.07 and 2,153.62

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Solution

The fourth proportional to 4,463.70, 6,697.07 and 2,153.62 is: 3,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.70 : 6,697.07 = 2,153.62 : x
  2. Step 2: Convert to fraction form
    4,463.70/6,697.07 = 2,153.62/x
  3. Step 3: Cross multiply
    4,463.70x = 6,697.07 × 2,153.62
  4. Step 4: Simplify right side
    4,463.70x = 14,422,943.89
  5. Step 5: Solve for x
    x = 14,422,943.89/4,463.70
  6. Step 6: Final answer
    x = 3,231.16

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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.