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Finding the Fourth Proportional to 5,776, 8,664 and 1,672

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Solution

The fourth proportional to 5,776, 8,664 and 1,672 is: 2,508

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776 : 8,664 = 1,672 : x
  2. Step 2: Convert to fraction form
    5,776/8,664 = 1,672/x
  3. Step 3: Cross multiply
    5,776x = 8,664 × 1,672
  4. Step 4: Simplify right side
    5,776x = 14,486,208
  5. Step 5: Solve for x
    x = 14,486,208/5,776
  6. Step 6: Final answer
    x = 2,508

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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.