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Finding the Fourth Proportional to 3,106.36, 4,652.52 and 2,407.44

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Solution

The fourth proportional to 3,106.36, 4,652.52 and 2,407.44 is: 3,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.36 : 4,652.52 = 2,407.44 : x
  2. Step 2: Convert to fraction form
    3,106.36/4,652.52 = 2,407.44/x
  3. Step 3: Cross multiply
    3,106.36x = 4,652.52 × 2,407.44
  4. Step 4: Simplify right side
    3,106.36x = 11,200,662.75
  5. Step 5: Solve for x
    x = 11,200,662.75/3,106.36
  6. Step 6: Final answer
    x = 3,605.72

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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.