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Finding the Fourth Proportional to 4,606.77, 6,350.64 and 3,188.30

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Solution

The fourth proportional to 4,606.77, 6,350.64 and 3,188.30 is: 4,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.77 : 6,350.64 = 3,188.30 : x
  2. Step 2: Convert to fraction form
    4,606.77/6,350.64 = 3,188.30/x
  3. Step 3: Cross multiply
    4,606.77x = 6,350.64 × 3,188.30
  4. Step 4: Simplify right side
    4,606.77x = 20,247,745.51
  5. Step 5: Solve for x
    x = 20,247,745.51/4,606.77
  6. Step 6: Final answer
    x = 4,395.22

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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.