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Finding the Fourth Proportional to 4,882, 7,323 and 1,804

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Solution

The fourth proportional to 4,882, 7,323 and 1,804 is: 2,706

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882 : 7,323 = 1,804 : x
  2. Step 2: Convert to fraction form
    4,882/7,323 = 1,804/x
  3. Step 3: Cross multiply
    4,882x = 7,323 × 1,804
  4. Step 4: Simplify right side
    4,882x = 13,210,692
  5. Step 5: Solve for x
    x = 13,210,692/4,882
  6. Step 6: Final answer
    x = 2,706

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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.