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Finding the Fourth Proportional to 5,830.70, 8,027.79 and 5,433.26

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Solution

The fourth proportional to 5,830.70, 8,027.79 and 5,433.26 is: 7,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.70 : 8,027.79 = 5,433.26 : x
  2. Step 2: Convert to fraction form
    5,830.70/8,027.79 = 5,433.26/x
  3. Step 3: Cross multiply
    5,830.70x = 8,027.79 × 5,433.26
  4. Step 4: Simplify right side
    5,830.70x = 43,617,070.30
  5. Step 5: Solve for x
    x = 43,617,070.30/5,830.70
  6. Step 6: Final answer
    x = 7,480.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.