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Finding the Fourth Proportional to 2,712.14, 3,745.41 and 2,316.86

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Solution

The fourth proportional to 2,712.14, 3,745.41 and 2,316.86 is: 3,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.14 : 3,745.41 = 2,316.86 : x
  2. Step 2: Convert to fraction form
    2,712.14/3,745.41 = 2,316.86/x
  3. Step 3: Cross multiply
    2,712.14x = 3,745.41 × 2,316.86
  4. Step 4: Simplify right side
    2,712.14x = 8,677,590.61
  5. Step 5: Solve for x
    x = 8,677,590.61/2,712.14
  6. Step 6: Final answer
    x = 3,199.54

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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.