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Finding the Fourth Proportional to 6,164.42, 8,506.90 and 3,331.78

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Solution

The fourth proportional to 6,164.42, 8,506.90 and 3,331.78 is: 4,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.42 : 8,506.90 = 3,331.78 : x
  2. Step 2: Convert to fraction form
    6,164.42/8,506.90 = 3,331.78/x
  3. Step 3: Cross multiply
    6,164.42x = 8,506.90 × 3,331.78
  4. Step 4: Simplify right side
    6,164.42x = 28,343,123.89
  5. Step 5: Solve for x
    x = 28,343,123.89/6,164.42
  6. Step 6: Final answer
    x = 4,597.86

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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.