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Finding the Fourth Proportional to 5,745.06, 8,615.76 and 1,848.54

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Solution

The fourth proportional to 5,745.06, 8,615.76 and 1,848.54 is: 2,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.06 : 8,615.76 = 1,848.54 : x
  2. Step 2: Convert to fraction form
    5,745.06/8,615.76 = 1,848.54/x
  3. Step 3: Cross multiply
    5,745.06x = 8,615.76 × 1,848.54
  4. Step 4: Simplify right side
    5,745.06x = 15,926,576.99
  5. Step 5: Solve for x
    x = 15,926,576.99/5,745.06
  6. Step 6: Final answer
    x = 2,772.22

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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.