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Finding the Fourth Proportional to 3,880.68, 5,820.06 and 2,419.08

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Solution

The fourth proportional to 3,880.68, 5,820.06 and 2,419.08 is: 3,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.68 : 5,820.06 = 2,419.08 : x
  2. Step 2: Convert to fraction form
    3,880.68/5,820.06 = 2,419.08/x
  3. Step 3: Cross multiply
    3,880.68x = 5,820.06 × 2,419.08
  4. Step 4: Simplify right side
    3,880.68x = 14,079,190.74
  5. Step 5: Solve for x
    x = 14,079,190.74/3,880.68
  6. Step 6: Final answer
    x = 3,628.02

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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.