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Finding the Fourth Proportional to 5,174.53, 7,763.01 and 1,476.81

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Solution

The fourth proportional to 5,174.53, 7,763.01 and 1,476.81 is: 2,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.53 : 7,763.01 = 1,476.81 : x
  2. Step 2: Convert to fraction form
    5,174.53/7,763.01 = 1,476.81/x
  3. Step 3: Cross multiply
    5,174.53x = 7,763.01 × 1,476.81
  4. Step 4: Simplify right side
    5,174.53x = 11,464,485.26
  5. Step 5: Solve for x
    x = 11,464,485.26/5,174.53
  6. Step 6: Final answer
    x = 2,215.56

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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.