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Finding the Fourth Proportional to 5,075.14, 7,004.22 and 2,837.80

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Solution

The fourth proportional to 5,075.14, 7,004.22 and 2,837.80 is: 3,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.14 : 7,004.22 = 2,837.80 : x
  2. Step 2: Convert to fraction form
    5,075.14/7,004.22 = 2,837.80/x
  3. Step 3: Cross multiply
    5,075.14x = 7,004.22 × 2,837.80
  4. Step 4: Simplify right side
    5,075.14x = 19,876,575.52
  5. Step 5: Solve for x
    x = 19,876,575.52/5,075.14
  6. Step 6: Final answer
    x = 3,916.46

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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.