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Finding the Fourth Proportional to 3,511.42, 5,266.08 and 1,867.06

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Solution

The fourth proportional to 3,511.42, 5,266.08 and 1,867.06 is: 2,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.42 : 5,266.08 = 1,867.06 : x
  2. Step 2: Convert to fraction form
    3,511.42/5,266.08 = 1,867.06/x
  3. Step 3: Cross multiply
    3,511.42x = 5,266.08 × 1,867.06
  4. Step 4: Simplify right side
    3,511.42x = 9,832,087.32
  5. Step 5: Solve for x
    x = 9,832,087.32/3,511.42
  6. Step 6: Final answer
    x = 2,800.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.