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Finding the Fourth Proportional to 5,075.45, 7,602.41 and 3,314.23

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Solution

The fourth proportional to 5,075.45, 7,602.41 and 3,314.23 is: 4,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.45 : 7,602.41 = 3,314.23 : x
  2. Step 2: Convert to fraction form
    5,075.45/7,602.41 = 3,314.23/x
  3. Step 3: Cross multiply
    5,075.45x = 7,602.41 × 3,314.23
  4. Step 4: Simplify right side
    5,075.45x = 25,196,135.29
  5. Step 5: Solve for x
    x = 25,196,135.29/5,075.45
  6. Step 6: Final answer
    x = 4,964.32

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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.