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Finding the Fourth Proportional to 5,971.30, 8,238.51 and 3,580.78

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Solution

The fourth proportional to 5,971.30, 8,238.51 and 3,580.78 is: 4,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.30 : 8,238.51 = 3,580.78 : x
  2. Step 2: Convert to fraction form
    5,971.30/8,238.51 = 3,580.78/x
  3. Step 3: Cross multiply
    5,971.30x = 8,238.51 × 3,580.78
  4. Step 4: Simplify right side
    5,971.30x = 29,500,291.84
  5. Step 5: Solve for x
    x = 29,500,291.84/5,971.30
  6. Step 6: Final answer
    x = 4,940.35

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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.