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Finding the Fourth Proportional to 4,683.96, 6,457.86 and 3,844.26

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Solution

The fourth proportional to 4,683.96, 6,457.86 and 3,844.26 is: 5,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.96 : 6,457.86 = 3,844.26 : x
  2. Step 2: Convert to fraction form
    4,683.96/6,457.86 = 3,844.26/x
  3. Step 3: Cross multiply
    4,683.96x = 6,457.86 × 3,844.26
  4. Step 4: Simplify right side
    4,683.96x = 24,825,692.88
  5. Step 5: Solve for x
    x = 24,825,692.88/4,683.96
  6. Step 6: Final answer
    x = 5,300.15

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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.