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Finding the Fourth Proportional to 3,816.69, 5,264.31 and 2,472.29

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Solution

The fourth proportional to 3,816.69, 5,264.31 and 2,472.29 is: 3,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.69 : 5,264.31 = 2,472.29 : x
  2. Step 2: Convert to fraction form
    3,816.69/5,264.31 = 2,472.29/x
  3. Step 3: Cross multiply
    3,816.69x = 5,264.31 × 2,472.29
  4. Step 4: Simplify right side
    3,816.69x = 13,014,888.61
  5. Step 5: Solve for x
    x = 13,014,888.61/3,816.69
  6. Step 6: Final answer
    x = 3,409.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.