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Finding the Fourth Proportional to 5,900.68, 8,851.02 and 2,005

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Solution

The fourth proportional to 5,900.68, 8,851.02 and 2,005 is: 3,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.68 : 8,851.02 = 2,005 : x
  2. Step 2: Convert to fraction form
    5,900.68/8,851.02 = 2,005/x
  3. Step 3: Cross multiply
    5,900.68x = 8,851.02 × 2,005
  4. Step 4: Simplify right side
    5,900.68x = 17,746,295.10
  5. Step 5: Solve for x
    x = 17,746,295.10/5,900.68
  6. Step 6: Final answer
    x = 3,007.50

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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.