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Finding the Fourth Proportional to 3,660.16, 5,053.20 and 2,264.80

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Solution

The fourth proportional to 3,660.16, 5,053.20 and 2,264.80 is: 3,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.16 : 5,053.20 = 2,264.80 : x
  2. Step 2: Convert to fraction form
    3,660.16/5,053.20 = 2,264.80/x
  3. Step 3: Cross multiply
    3,660.16x = 5,053.20 × 2,264.80
  4. Step 4: Simplify right side
    3,660.16x = 11,444,487.36
  5. Step 5: Solve for x
    x = 11,444,487.36/3,660.16
  6. Step 6: Final answer
    x = 3,126.77

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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.