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Finding the Fourth Proportional to 5,036, 7,554 and 1,958

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Solution

The fourth proportional to 5,036, 7,554 and 1,958 is: 2,937

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036 : 7,554 = 1,958 : x
  2. Step 2: Convert to fraction form
    5,036/7,554 = 1,958/x
  3. Step 3: Cross multiply
    5,036x = 7,554 × 1,958
  4. Step 4: Simplify right side
    5,036x = 14,790,732
  5. Step 5: Solve for x
    x = 14,790,732/5,036
  6. Step 6: Final answer
    x = 2,937

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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.