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Finding the Fourth Proportional to 3,817.42, 5,266.08 and 3,150.40

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Solution

The fourth proportional to 3,817.42, 5,266.08 and 3,150.40 is: 4,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.42 : 5,266.08 = 3,150.40 : x
  2. Step 2: Convert to fraction form
    3,817.42/5,266.08 = 3,150.40/x
  3. Step 3: Cross multiply
    3,817.42x = 5,266.08 × 3,150.40
  4. Step 4: Simplify right side
    3,817.42x = 16,590,258.43
  5. Step 5: Solve for x
    x = 16,590,258.43/3,817.42
  6. Step 6: Final answer
    x = 4,345.93

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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.