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Finding the Fourth Proportional to 3,811.84, 5,265.66 and 3,612.34

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Solution

The fourth proportional to 3,811.84, 5,265.66 and 3,612.34 is: 4,990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.84 : 5,265.66 = 3,612.34 : x
  2. Step 2: Convert to fraction form
    3,811.84/5,265.66 = 3,612.34/x
  3. Step 3: Cross multiply
    3,811.84x = 5,265.66 × 3,612.34
  4. Step 4: Simplify right side
    3,811.84x = 19,021,354.24
  5. Step 5: Solve for x
    x = 19,021,354.24/3,811.84
  6. Step 6: Final answer
    x = 4,990.07

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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.