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Finding the Fourth Proportional to 4,684.96, 6,459.24 and 3,845.26

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Solution

The fourth proportional to 4,684.96, 6,459.24 and 3,845.26 is: 5,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.96 : 6,459.24 = 3,845.26 : x
  2. Step 2: Convert to fraction form
    4,684.96/6,459.24 = 3,845.26/x
  3. Step 3: Cross multiply
    4,684.96x = 6,459.24 × 3,845.26
  4. Step 4: Simplify right side
    4,684.96x = 24,837,457.20
  5. Step 5: Solve for x
    x = 24,837,457.20/4,684.96
  6. Step 6: Final answer
    x = 5,301.53

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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.