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Finding the Fourth Proportional to 5,862.63, 8,090.31 and 3,209.95

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Solution

The fourth proportional to 5,862.63, 8,090.31 and 3,209.95 is: 4,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.63 : 8,090.31 = 3,209.95 : x
  2. Step 2: Convert to fraction form
    5,862.63/8,090.31 = 3,209.95/x
  3. Step 3: Cross multiply
    5,862.63x = 8,090.31 × 3,209.95
  4. Step 4: Simplify right side
    5,862.63x = 25,969,490.58
  5. Step 5: Solve for x
    x = 25,969,490.58/5,862.63
  6. Step 6: Final answer
    x = 4,429.67

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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.