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Finding the Fourth Proportional to 5,174.72, 7,762.10 and 2,401.04

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Solution

The fourth proportional to 5,174.72, 7,762.10 and 2,401.04 is: 3,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.72 : 7,762.10 = 2,401.04 : x
  2. Step 2: Convert to fraction form
    5,174.72/7,762.10 = 2,401.04/x
  3. Step 3: Cross multiply
    5,174.72x = 7,762.10 × 2,401.04
  4. Step 4: Simplify right side
    5,174.72x = 18,637,112.58
  5. Step 5: Solve for x
    x = 18,637,112.58/5,174.72
  6. Step 6: Final answer
    x = 3,601.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.