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Finding the Fourth Proportional to 5,828.70, 8,745.64 and 3,054.72

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Solution

The fourth proportional to 5,828.70, 8,745.64 and 3,054.72 is: 4,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.70 : 8,745.64 = 3,054.72 : x
  2. Step 2: Convert to fraction form
    5,828.70/8,745.64 = 3,054.72/x
  3. Step 3: Cross multiply
    5,828.70x = 8,745.64 × 3,054.72
  4. Step 4: Simplify right side
    5,828.70x = 26,715,437.69
  5. Step 5: Solve for x
    x = 26,715,437.69/5,828.70
  6. Step 6: Final answer
    x = 4,583.43

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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.