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Finding the Fourth Proportional to 5,762.75, 7,953.39 and 3,408.08

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Solution

The fourth proportional to 5,762.75, 7,953.39 and 3,408.08 is: 4,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.75 : 7,953.39 = 3,408.08 : x
  2. Step 2: Convert to fraction form
    5,762.75/7,953.39 = 3,408.08/x
  3. Step 3: Cross multiply
    5,762.75x = 7,953.39 × 3,408.08
  4. Step 4: Simplify right side
    5,762.75x = 27,105,749.62
  5. Step 5: Solve for x
    x = 27,105,749.62/5,762.75
  6. Step 6: Final answer
    x = 4,703.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.