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Finding the Fourth Proportional to 4,057.36, 6,075.16 and 2,822.16

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Solution

The fourth proportional to 4,057.36, 6,075.16 and 2,822.16 is: 4,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.36 : 6,075.16 = 2,822.16 : x
  2. Step 2: Convert to fraction form
    4,057.36/6,075.16 = 2,822.16/x
  3. Step 3: Cross multiply
    4,057.36x = 6,075.16 × 2,822.16
  4. Step 4: Simplify right side
    4,057.36x = 17,145,073.55
  5. Step 5: Solve for x
    x = 17,145,073.55/4,057.36
  6. Step 6: Final answer
    x = 4,225.67

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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.