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Finding the Fourth Proportional to 3,992.54, 5,509.77 and 2,314.07

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Solution

The fourth proportional to 3,992.54, 5,509.77 and 2,314.07 is: 3,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.54 : 5,509.77 = 2,314.07 : x
  2. Step 2: Convert to fraction form
    3,992.54/5,509.77 = 2,314.07/x
  3. Step 3: Cross multiply
    3,992.54x = 5,509.77 × 2,314.07
  4. Step 4: Simplify right side
    3,992.54x = 12,749,954.34
  5. Step 5: Solve for x
    x = 12,749,954.34/3,992.54
  6. Step 6: Final answer
    x = 3,193.44

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1.5x scale

Why These Related Problems?

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