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Finding the Fourth Proportional to 4,995.92, 7,491.36 and 2,075

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Solution

The fourth proportional to 4,995.92, 7,491.36 and 2,075 is: 3,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995.92 : 7,491.36 = 2,075 : x
  2. Step 2: Convert to fraction form
    4,995.92/7,491.36 = 2,075/x
  3. Step 3: Cross multiply
    4,995.92x = 7,491.36 × 2,075
  4. Step 4: Simplify right side
    4,995.92x = 15,544,572
  5. Step 5: Solve for x
    x = 15,544,572/4,995.92
  6. Step 6: Final answer
    x = 3,111.45

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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.