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Finding the Fourth Proportional to 5,405.34, 8,098.41 and 3,667.74

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Solution

The fourth proportional to 5,405.34, 8,098.41 and 3,667.74 is: 5,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.34 : 8,098.41 = 3,667.74 : x
  2. Step 2: Convert to fraction form
    5,405.34/8,098.41 = 3,667.74/x
  3. Step 3: Cross multiply
    5,405.34x = 8,098.41 × 3,667.74
  4. Step 4: Simplify right side
    5,405.34x = 29,702,862.29
  5. Step 5: Solve for x
    x = 29,702,862.29/5,405.34
  6. Step 6: Final answer
    x = 5,495.10

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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.