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Finding the Fourth Proportional to 5,390.34, 8,083.40 and 1,641.31

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Solution

The fourth proportional to 5,390.34, 8,083.40 and 1,641.31 is: 2,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.34 : 8,083.40 = 1,641.31 : x
  2. Step 2: Convert to fraction form
    5,390.34/8,083.40 = 1,641.31/x
  3. Step 3: Cross multiply
    5,390.34x = 8,083.40 × 1,641.31
  4. Step 4: Simplify right side
    5,390.34x = 13,267,349.15
  5. Step 5: Solve for x
    x = 13,267,349.15/5,390.34
  6. Step 6: Final answer
    x = 2,461.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.