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Finding the Fourth Proportional to 5,238.39, 7,856.13 and 2,075.31

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Solution

The fourth proportional to 5,238.39, 7,856.13 and 2,075.31 is: 3,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.39 : 7,856.13 = 2,075.31 : x
  2. Step 2: Convert to fraction form
    5,238.39/7,856.13 = 2,075.31/x
  3. Step 3: Cross multiply
    5,238.39x = 7,856.13 × 2,075.31
  4. Step 4: Simplify right side
    5,238.39x = 16,303,905.15
  5. Step 5: Solve for x
    x = 16,303,905.15/5,238.39
  6. Step 6: Final answer
    x = 3,112.39

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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.