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Finding the Fourth Proportional to 3,806.19, 5,253.42 and 2,477.58

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Solution

The fourth proportional to 3,806.19, 5,253.42 and 2,477.58 is: 3,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.19 : 5,253.42 = 2,477.58 : x
  2. Step 2: Convert to fraction form
    3,806.19/5,253.42 = 2,477.58/x
  3. Step 3: Cross multiply
    3,806.19x = 5,253.42 × 2,477.58
  4. Step 4: Simplify right side
    3,806.19x = 13,015,768.32
  5. Step 5: Solve for x
    x = 13,015,768.32/3,806.19
  6. Step 6: Final answer
    x = 3,419.63

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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.