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Finding the Fourth Proportional to 3,260.96, 4,506.96 and 3,138.08

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Solution

The fourth proportional to 3,260.96, 4,506.96 and 3,138.08 is: 4,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.96 : 4,506.96 = 3,138.08 : x
  2. Step 2: Convert to fraction form
    3,260.96/4,506.96 = 3,138.08/x
  3. Step 3: Cross multiply
    3,260.96x = 4,506.96 × 3,138.08
  4. Step 4: Simplify right side
    3,260.96x = 14,143,201.04
  5. Step 5: Solve for x
    x = 14,143,201.04/3,260.96
  6. Step 6: Final answer
    x = 4,337.13

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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.