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Finding the Fourth Proportional to 4,298.73, 6,448 and 2,325.30

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Solution

The fourth proportional to 4,298.73, 6,448 and 2,325.30 is: 3,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.73 : 6,448 = 2,325.30 : x
  2. Step 2: Convert to fraction form
    4,298.73/6,448 = 2,325.30/x
  3. Step 3: Cross multiply
    4,298.73x = 6,448 × 2,325.30
  4. Step 4: Simplify right side
    4,298.73x = 14,993,534.40
  5. Step 5: Solve for x
    x = 14,993,534.40/4,298.73
  6. Step 6: Final answer
    x = 3,487.90

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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.