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Finding the Fourth Proportional to 5,312.92, 7,331.96 and 3,075

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Solution

The fourth proportional to 5,312.92, 7,331.96 and 3,075 is: 4,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.92 : 7,331.96 = 3,075 : x
  2. Step 2: Convert to fraction form
    5,312.92/7,331.96 = 3,075/x
  3. Step 3: Cross multiply
    5,312.92x = 7,331.96 × 3,075
  4. Step 4: Simplify right side
    5,312.92x = 22,545,777
  5. Step 5: Solve for x
    x = 22,545,777/5,312.92
  6. Step 6: Final answer
    x = 4,243.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.