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Finding the Fourth Proportional to 3,811.86, 5,718.34 and 1,215

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Solution

The fourth proportional to 3,811.86, 5,718.34 and 1,215 is: 1,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.86 : 5,718.34 = 1,215 : x
  2. Step 2: Convert to fraction form
    3,811.86/5,718.34 = 1,215/x
  3. Step 3: Cross multiply
    3,811.86x = 5,718.34 × 1,215
  4. Step 4: Simplify right side
    3,811.86x = 6,947,783.10
  5. Step 5: Solve for x
    x = 6,947,783.10/3,811.86
  6. Step 6: Final answer
    x = 1,822.68

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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.