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Finding the Fourth Proportional to 3,594, 5,391 and 1,542

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Solution

The fourth proportional to 3,594, 5,391 and 1,542 is: 2,313

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594 : 5,391 = 1,542 : x
  2. Step 2: Convert to fraction form
    3,594/5,391 = 1,542/x
  3. Step 3: Cross multiply
    3,594x = 5,391 × 1,542
  4. Step 4: Simplify right side
    3,594x = 8,312,922
  5. Step 5: Solve for x
    x = 8,312,922/3,594
  6. Step 6: Final answer
    x = 2,313

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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.