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Finding the Fourth Proportional to 5,432.94, 7,497.50 and 3,075.03

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Solution

The fourth proportional to 5,432.94, 7,497.50 and 3,075.03 is: 4,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.94 : 7,497.50 = 3,075.03 : x
  2. Step 2: Convert to fraction form
    5,432.94/7,497.50 = 3,075.03/x
  3. Step 3: Cross multiply
    5,432.94x = 7,497.50 × 3,075.03
  4. Step 4: Simplify right side
    5,432.94x = 23,055,022.05
  5. Step 5: Solve for x
    x = 23,055,022.05/5,432.94
  6. Step 6: Final answer
    x = 4,243.56

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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.