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Finding the Fourth Proportional to 3,838.51, 5,756.28 and 1,372.60

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Solution

The fourth proportional to 3,838.51, 5,756.28 and 1,372.60 is: 2,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.51 : 5,756.28 = 1,372.60 : x
  2. Step 2: Convert to fraction form
    3,838.51/5,756.28 = 1,372.60/x
  3. Step 3: Cross multiply
    3,838.51x = 5,756.28 × 1,372.60
  4. Step 4: Simplify right side
    3,838.51x = 7,901,069.93
  5. Step 5: Solve for x
    x = 7,901,069.93/3,838.51
  6. Step 6: Final answer
    x = 2,058.37

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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.