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Finding the Fourth Proportional to 5,465.85, 7,542.25 and 3,075.36

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Solution

The fourth proportional to 5,465.85, 7,542.25 and 3,075.36 is: 4,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.85 : 7,542.25 = 3,075.36 : x
  2. Step 2: Convert to fraction form
    5,465.85/7,542.25 = 3,075.36/x
  3. Step 3: Cross multiply
    5,465.85x = 7,542.25 × 3,075.36
  4. Step 4: Simplify right side
    5,465.85x = 23,195,133.96
  5. Step 5: Solve for x
    x = 23,195,133.96/5,465.85
  6. Step 6: Final answer
    x = 4,243.65

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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.