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Finding the Fourth Proportional to 4,259.12, 5,874.12 and 3,506.42

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Solution

The fourth proportional to 4,259.12, 5,874.12 and 3,506.42 is: 4,836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.12 : 5,874.12 = 3,506.42 : x
  2. Step 2: Convert to fraction form
    4,259.12/5,874.12 = 3,506.42/x
  3. Step 3: Cross multiply
    4,259.12x = 5,874.12 × 3,506.42
  4. Step 4: Simplify right side
    4,259.12x = 20,597,146.54
  5. Step 5: Solve for x
    x = 20,597,146.54/4,259.12
  6. Step 6: Final answer
    x = 4,836.02

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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.