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Finding the Fourth Proportional to 3,886.54, 5,820.49 and 3,419.58

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Solution

The fourth proportional to 3,886.54, 5,820.49 and 3,419.58 is: 5,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.54 : 5,820.49 = 3,419.58 : x
  2. Step 2: Convert to fraction form
    3,886.54/5,820.49 = 3,419.58/x
  3. Step 3: Cross multiply
    3,886.54x = 5,820.49 × 3,419.58
  4. Step 4: Simplify right side
    3,886.54x = 19,903,631.19
  5. Step 5: Solve for x
    x = 19,903,631.19/3,886.54
  6. Step 6: Final answer
    x = 5,121.17

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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.