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Finding the Fourth Proportional to 3,778.47, 5,667.77 and 1,313.37

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Solution

The fourth proportional to 3,778.47, 5,667.77 and 1,313.37 is: 1,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.47 : 5,667.77 = 1,313.37 : x
  2. Step 2: Convert to fraction form
    3,778.47/5,667.77 = 1,313.37/x
  3. Step 3: Cross multiply
    3,778.47x = 5,667.77 × 1,313.37
  4. Step 4: Simplify right side
    3,778.47x = 7,443,879.08
  5. Step 5: Solve for x
    x = 7,443,879.08/3,778.47
  6. Step 6: Final answer
    x = 1,970.08

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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.