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Finding the Fourth Proportional to 4,652.64, 6,412.23 and 3,770.55

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Solution

The fourth proportional to 4,652.64, 6,412.23 and 3,770.55 is: 5,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.64 : 6,412.23 = 3,770.55 : x
  2. Step 2: Convert to fraction form
    4,652.64/6,412.23 = 3,770.55/x
  3. Step 3: Cross multiply
    4,652.64x = 6,412.23 × 3,770.55
  4. Step 4: Simplify right side
    4,652.64x = 24,177,633.83
  5. Step 5: Solve for x
    x = 24,177,633.83/4,652.64
  6. Step 6: Final answer
    x = 5,196.54

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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.