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Finding the Fourth Proportional to 4,663.36, 6,989.10 and 2,473.12

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Solution

The fourth proportional to 4,663.36, 6,989.10 and 2,473.12 is: 3,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.36 : 6,989.10 = 2,473.12 : x
  2. Step 2: Convert to fraction form
    4,663.36/6,989.10 = 2,473.12/x
  3. Step 3: Cross multiply
    4,663.36x = 6,989.10 × 2,473.12
  4. Step 4: Simplify right side
    4,663.36x = 17,284,882.99
  5. Step 5: Solve for x
    x = 17,284,882.99/4,663.36
  6. Step 6: Final answer
    x = 3,706.53

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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.