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Finding the Fourth Proportional to 5,880.81, 8,824.83 and 2,418.06

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Solution

The fourth proportional to 5,880.81, 8,824.83 and 2,418.06 is: 3,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.81 : 8,824.83 = 2,418.06 : x
  2. Step 2: Convert to fraction form
    5,880.81/8,824.83 = 2,418.06/x
  3. Step 3: Cross multiply
    5,880.81x = 8,824.83 × 2,418.06
  4. Step 4: Simplify right side
    5,880.81x = 21,338,968.43
  5. Step 5: Solve for x
    x = 21,338,968.43/5,880.81
  6. Step 6: Final answer
    x = 3,628.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.