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Finding the Fourth Proportional to 5,444.36, 8,160.06 and 3,131

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Solution

The fourth proportional to 5,444.36, 8,160.06 and 3,131 is: 4,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.36 : 8,160.06 = 3,131 : x
  2. Step 2: Convert to fraction form
    5,444.36/8,160.06 = 3,131/x
  3. Step 3: Cross multiply
    5,444.36x = 8,160.06 × 3,131
  4. Step 4: Simplify right side
    5,444.36x = 25,549,147.86
  5. Step 5: Solve for x
    x = 25,549,147.86/5,444.36
  6. Step 6: Final answer
    x = 4,692.77

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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.