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Finding the Fourth Proportional to 4,896.62, 7,345.98 and 2,298.14

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Solution

The fourth proportional to 4,896.62, 7,345.98 and 2,298.14 is: 3,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.62 : 7,345.98 = 2,298.14 : x
  2. Step 2: Convert to fraction form
    4,896.62/7,345.98 = 2,298.14/x
  3. Step 3: Cross multiply
    4,896.62x = 7,345.98 × 2,298.14
  4. Step 4: Simplify right side
    4,896.62x = 16,882,090.48
  5. Step 5: Solve for x
    x = 16,882,090.48/4,896.62
  6. Step 6: Final answer
    x = 3,447.70

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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.