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Finding the Fourth Proportional to 5,362.84, 8,045.82 and 1,900.36

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Solution

The fourth proportional to 5,362.84, 8,045.82 and 1,900.36 is: 2,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.84 : 8,045.82 = 1,900.36 : x
  2. Step 2: Convert to fraction form
    5,362.84/8,045.82 = 1,900.36/x
  3. Step 3: Cross multiply
    5,362.84x = 8,045.82 × 1,900.36
  4. Step 4: Simplify right side
    5,362.84x = 15,289,954.50
  5. Step 5: Solve for x
    x = 15,289,954.50/5,362.84
  6. Step 6: Final answer
    x = 2,851.09

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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.