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Finding the Fourth Proportional to 3,506.96, 5,260.43 and 2,408.00

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Solution

The fourth proportional to 3,506.96, 5,260.43 and 2,408.00 is: 3,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.96 : 5,260.43 = 2,408.00 : x
  2. Step 2: Convert to fraction form
    3,506.96/5,260.43 = 2,408.00/x
  3. Step 3: Cross multiply
    3,506.96x = 5,260.43 × 2,408.00
  4. Step 4: Simplify right side
    3,506.96x = 12,667,095.16
  5. Step 5: Solve for x
    x = 12,667,095.16/3,506.96
  6. Step 6: Final answer
    x = 3,611.98

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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.