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Finding the Fourth Proportional to 4,770.37, 6,580.25 and 3,447.01

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Solution

The fourth proportional to 4,770.37, 6,580.25 and 3,447.01 is: 4,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.37 : 6,580.25 = 3,447.01 : x
  2. Step 2: Convert to fraction form
    4,770.37/6,580.25 = 3,447.01/x
  3. Step 3: Cross multiply
    4,770.37x = 6,580.25 × 3,447.01
  4. Step 4: Simplify right side
    4,770.37x = 22,682,170.32
  5. Step 5: Solve for x
    x = 22,682,170.32/4,770.37
  6. Step 6: Final answer
    x = 4,754.80

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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.