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Finding the Fourth Proportional to 4,597.48, 6,896.58 and 2,000.62

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Solution

The fourth proportional to 4,597.48, 6,896.58 and 2,000.62 is: 3,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.48 : 6,896.58 = 2,000.62 : x
  2. Step 2: Convert to fraction form
    4,597.48/6,896.58 = 2,000.62/x
  3. Step 3: Cross multiply
    4,597.48x = 6,896.58 × 2,000.62
  4. Step 4: Simplify right side
    4,597.48x = 13,797,435.88
  5. Step 5: Solve for x
    x = 13,797,435.88/4,597.48
  6. Step 6: Final answer
    x = 3,001.09

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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.