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Finding the Fourth Proportional to 3,983.60, 5,497.86 and 2,411.66

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Solution

The fourth proportional to 3,983.60, 5,497.86 and 2,411.66 is: 3,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.60 : 5,497.86 = 2,411.66 : x
  2. Step 2: Convert to fraction form
    3,983.60/5,497.86 = 2,411.66/x
  3. Step 3: Cross multiply
    3,983.60x = 5,497.86 × 2,411.66
  4. Step 4: Simplify right side
    3,983.60x = 13,258,969.05
  5. Step 5: Solve for x
    x = 13,258,969.05/3,983.60
  6. Step 6: Final answer
    x = 3,328.39

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Why These Related Problems?

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