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Finding the Fourth Proportional to 3,582, 5,371.02 and 2,411.94

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Solution

The fourth proportional to 3,582, 5,371.02 and 2,411.94 is: 3,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582 : 5,371.02 = 2,411.94 : x
  2. Step 2: Convert to fraction form
    3,582/5,371.02 = 2,411.94/x
  3. Step 3: Cross multiply
    3,582x = 5,371.02 × 2,411.94
  4. Step 4: Simplify right side
    3,582x = 12,954,577.98
  5. Step 5: Solve for x
    x = 12,954,577.98/3,582
  6. Step 6: Final answer
    x = 3,616.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.