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Finding the Fourth Proportional to 4,075.36, 6,113.06 and 997.36

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Solution

The fourth proportional to 4,075.36, 6,113.06 and 997.36 is: 1,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.36 : 6,113.06 = 997.36 : x
  2. Step 2: Convert to fraction form
    4,075.36/6,113.06 = 997.36/x
  3. Step 3: Cross multiply
    4,075.36x = 6,113.06 × 997.36
  4. Step 4: Simplify right side
    4,075.36x = 6,096,921.52
  5. Step 5: Solve for x
    x = 6,096,921.52/4,075.36
  6. Step 6: Final answer
    x = 1,496.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.