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Finding the Fourth Proportional to 5,354.56, 8,030.22 and 1,891

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Solution

The fourth proportional to 5,354.56, 8,030.22 and 1,891 is: 2,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.56 : 8,030.22 = 1,891 : x
  2. Step 2: Convert to fraction form
    5,354.56/8,030.22 = 1,891/x
  3. Step 3: Cross multiply
    5,354.56x = 8,030.22 × 1,891
  4. Step 4: Simplify right side
    5,354.56x = 15,185,146.02
  5. Step 5: Solve for x
    x = 15,185,146.02/5,354.56
  6. Step 6: Final answer
    x = 2,835.93

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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.