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Finding the Fourth Proportional to 5,056, 7,584 and 1,978

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Solution

The fourth proportional to 5,056, 7,584 and 1,978 is: 2,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056 : 7,584 = 1,978 : x
  2. Step 2: Convert to fraction form
    5,056/7,584 = 1,978/x
  3. Step 3: Cross multiply
    5,056x = 7,584 × 1,978
  4. Step 4: Simplify right side
    5,056x = 15,001,152
  5. Step 5: Solve for x
    x = 15,001,152/5,056
  6. Step 6: Final answer
    x = 2,967

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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.