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Finding the Fourth Proportional to 5,071.50, 7,608.21 and 2,335.50

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Solution

The fourth proportional to 5,071.50, 7,608.21 and 2,335.50 is: 3,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.50 : 7,608.21 = 2,335.50 : x
  2. Step 2: Convert to fraction form
    5,071.50/7,608.21 = 2,335.50/x
  3. Step 3: Cross multiply
    5,071.50x = 7,608.21 × 2,335.50
  4. Step 4: Simplify right side
    5,071.50x = 17,768,974.46
  5. Step 5: Solve for x
    x = 17,768,974.46/5,071.50
  6. Step 6: Final answer
    x = 3,503.69

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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.