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Finding the Fourth Proportional to 5,205.35, 7,182.88 and 2,967.17

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Solution

The fourth proportional to 5,205.35, 7,182.88 and 2,967.17 is: 4,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.35 : 7,182.88 = 2,967.17 : x
  2. Step 2: Convert to fraction form
    5,205.35/7,182.88 = 2,967.17/x
  3. Step 3: Cross multiply
    5,205.35x = 7,182.88 × 2,967.17
  4. Step 4: Simplify right side
    5,205.35x = 21,312,826.05
  5. Step 5: Solve for x
    x = 21,312,826.05/5,205.35
  6. Step 6: Final answer
    x = 4,094.41

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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.