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Finding the Fourth Proportional to 3,418.19, 5,127.28 and 821.13

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Solution

The fourth proportional to 3,418.19, 5,127.28 and 821.13 is: 1,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.19 : 5,127.28 = 821.13 : x
  2. Step 2: Convert to fraction form
    3,418.19/5,127.28 = 821.13/x
  3. Step 3: Cross multiply
    3,418.19x = 5,127.28 × 821.13
  4. Step 4: Simplify right side
    3,418.19x = 4,210,137.79
  5. Step 5: Solve for x
    x = 4,210,137.79/3,418.19
  6. Step 6: Final answer
    x = 1,231.69

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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.