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Finding the Fourth Proportional to 3,583, 5,376.66 and 1,531

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Solution

The fourth proportional to 3,583, 5,376.66 and 1,531 is: 2,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583 : 5,376.66 = 1,531 : x
  2. Step 2: Convert to fraction form
    3,583/5,376.66 = 1,531/x
  3. Step 3: Cross multiply
    3,583x = 5,376.66 × 1,531
  4. Step 4: Simplify right side
    3,583x = 8,231,666.46
  5. Step 5: Solve for x
    x = 8,231,666.46/3,583
  6. Step 6: Final answer
    x = 2,297.42

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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.