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Finding the Fourth Proportional to 4,583.50, 6,876.06 and 1,505.50

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Solution

The fourth proportional to 4,583.50, 6,876.06 and 1,505.50 is: 2,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,583.50 : 6,876.06 = 1,505.50 : x
  2. Step 2: Convert to fraction form
    4,583.50/6,876.06 = 1,505.50/x
  3. Step 3: Cross multiply
    4,583.50x = 6,876.06 × 1,505.50
  4. Step 4: Simplify right side
    4,583.50x = 10,351,908.33
  5. Step 5: Solve for x
    x = 10,351,908.33/4,583.50
  6. Step 6: Final answer
    x = 2,258.52

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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.