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Finding the Fourth Proportional to 3,607, 4,977.70 and 2,367.16

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Solution

The fourth proportional to 3,607, 4,977.70 and 2,367.16 is: 3,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607 : 4,977.70 = 2,367.16 : x
  2. Step 2: Convert to fraction form
    3,607/4,977.70 = 2,367.16/x
  3. Step 3: Cross multiply
    3,607x = 4,977.70 × 2,367.16
  4. Step 4: Simplify right side
    3,607x = 11,783,012.33
  5. Step 5: Solve for x
    x = 11,783,012.33/3,607
  6. Step 6: Final answer
    x = 3,266.71

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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.