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Finding the Fourth Proportional to 4,596.87, 6,898.73 and 2,258.13

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Solution

The fourth proportional to 4,596.87, 6,898.73 and 2,258.13 is: 3,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.87 : 6,898.73 = 2,258.13 : x
  2. Step 2: Convert to fraction form
    4,596.87/6,898.73 = 2,258.13/x
  3. Step 3: Cross multiply
    4,596.87x = 6,898.73 × 2,258.13
  4. Step 4: Simplify right side
    4,596.87x = 15,578,217.88
  5. Step 5: Solve for x
    x = 15,578,217.88/4,596.87
  6. Step 6: Final answer
    x = 3,388.88

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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.