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Finding the Fourth Proportional to 3,870.51, 5,806.08 and 1,238.37

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Solution

The fourth proportional to 3,870.51, 5,806.08 and 1,238.37 is: 1,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.51 : 5,806.08 = 1,238.37 : x
  2. Step 2: Convert to fraction form
    3,870.51/5,806.08 = 1,238.37/x
  3. Step 3: Cross multiply
    3,870.51x = 5,806.08 × 1,238.37
  4. Step 4: Simplify right side
    3,870.51x = 7,190,075.29
  5. Step 5: Solve for x
    x = 7,190,075.29/3,870.51
  6. Step 6: Final answer
    x = 1,857.66

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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.