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Finding the Fourth Proportional to 5,106.89, 7,661.06 and 1,819.01

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Solution

The fourth proportional to 5,106.89, 7,661.06 and 1,819.01 is: 2,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.89 : 7,661.06 = 1,819.01 : x
  2. Step 2: Convert to fraction form
    5,106.89/7,661.06 = 1,819.01/x
  3. Step 3: Cross multiply
    5,106.89x = 7,661.06 × 1,819.01
  4. Step 4: Simplify right side
    5,106.89x = 13,935,535.66
  5. Step 5: Solve for x
    x = 13,935,535.66/5,106.89
  6. Step 6: Final answer
    x = 2,728.77

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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.