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Finding the Fourth Proportional to 3,762.36, 5,647.32 and 3,077.16

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Solution

The fourth proportional to 3,762.36, 5,647.32 and 3,077.16 is: 4,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.36 : 5,647.32 = 3,077.16 : x
  2. Step 2: Convert to fraction form
    3,762.36/5,647.32 = 3,077.16/x
  3. Step 3: Cross multiply
    3,762.36x = 5,647.32 × 3,077.16
  4. Step 4: Simplify right side
    3,762.36x = 17,377,707.21
  5. Step 5: Solve for x
    x = 17,377,707.21/3,762.36
  6. Step 6: Final answer
    x = 4,618.83

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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.