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Finding the Fourth Proportional to 3,307.74, 4,958.25 and 2,137.50

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Solution

The fourth proportional to 3,307.74, 4,958.25 and 2,137.50 is: 3,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.74 : 4,958.25 = 2,137.50 : x
  2. Step 2: Convert to fraction form
    3,307.74/4,958.25 = 2,137.50/x
  3. Step 3: Cross multiply
    3,307.74x = 4,958.25 × 2,137.50
  4. Step 4: Simplify right side
    3,307.74x = 10,598,259.38
  5. Step 5: Solve for x
    x = 10,598,259.38/3,307.74
  6. Step 6: Final answer
    x = 3,204.08

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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.