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Finding the Fourth Proportional to 5,898, 8,851.05 and 2,435.28

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Solution

The fourth proportional to 5,898, 8,851.05 and 2,435.28 is: 3,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898 : 8,851.05 = 2,435.28 : x
  2. Step 2: Convert to fraction form
    5,898/8,851.05 = 2,435.28/x
  3. Step 3: Cross multiply
    5,898x = 8,851.05 × 2,435.28
  4. Step 4: Simplify right side
    5,898x = 21,554,785.04
  5. Step 5: Solve for x
    x = 21,554,785.04/5,898
  6. Step 6: Final answer
    x = 3,654.59

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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.