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Finding the Fourth Proportional to 5,001, 7,501.87 and 1,923

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Solution

The fourth proportional to 5,001, 7,501.87 and 1,923 is: 2,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001 : 7,501.87 = 1,923 : x
  2. Step 2: Convert to fraction form
    5,001/7,501.87 = 1,923/x
  3. Step 3: Cross multiply
    5,001x = 7,501.87 × 1,923
  4. Step 4: Simplify right side
    5,001x = 14,426,096.01
  5. Step 5: Solve for x
    x = 14,426,096.01/5,001
  6. Step 6: Final answer
    x = 2,884.64

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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.