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Finding the Fourth Proportional to 6,268.70, 8,652.36 and 3,617.70

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Solution

The fourth proportional to 6,268.70, 8,652.36 and 3,617.70 is: 4,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.70 : 8,652.36 = 3,617.70 : x
  2. Step 2: Convert to fraction form
    6,268.70/8,652.36 = 3,617.70/x
  3. Step 3: Cross multiply
    6,268.70x = 8,652.36 × 3,617.70
  4. Step 4: Simplify right side
    6,268.70x = 31,301,642.77
  5. Step 5: Solve for x
    x = 31,301,642.77/6,268.70
  6. Step 6: Final answer
    x = 4,993.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.