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Finding the Fourth Proportional to 3,235.60, 4,853.40 and 2,506.60

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Solution

The fourth proportional to 3,235.60, 4,853.40 and 2,506.60 is: 3,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.60 : 4,853.40 = 2,506.60 : x
  2. Step 2: Convert to fraction form
    3,235.60/4,853.40 = 2,506.60/x
  3. Step 3: Cross multiply
    3,235.60x = 4,853.40 × 2,506.60
  4. Step 4: Simplify right side
    3,235.60x = 12,165,532.44
  5. Step 5: Solve for x
    x = 12,165,532.44/3,235.60
  6. Step 6: Final answer
    x = 3,759.90

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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.