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Finding the Fourth Proportional to 3,983.68, 5,495.94 and 2,411.20

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Solution

The fourth proportional to 3,983.68, 5,495.94 and 2,411.20 is: 3,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.68 : 5,495.94 = 2,411.20 : x
  2. Step 2: Convert to fraction form
    3,983.68/5,495.94 = 2,411.20/x
  3. Step 3: Cross multiply
    3,983.68x = 5,495.94 × 2,411.20
  4. Step 4: Simplify right side
    3,983.68x = 13,251,810.53
  5. Step 5: Solve for x
    x = 13,251,810.53/3,983.68
  6. Step 6: Final answer
    x = 3,326.52

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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.