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Finding the Fourth Proportional to 5,629.96, 7,770.00 and 4,684.08

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Solution

The fourth proportional to 5,629.96, 7,770.00 and 4,684.08 is: 6,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.96 : 7,770.00 = 4,684.08 : x
  2. Step 2: Convert to fraction form
    5,629.96/7,770.00 = 4,684.08/x
  3. Step 3: Cross multiply
    5,629.96x = 7,770.00 × 4,684.08
  4. Step 4: Simplify right side
    5,629.96x = 36,395,239.33
  5. Step 5: Solve for x
    x = 36,395,239.33/5,629.96
  6. Step 6: Final answer
    x = 6,464.57

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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.