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Finding the Fourth Proportional to 3,875.72, 5,804.02 and 2,028.39

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Solution

The fourth proportional to 3,875.72, 5,804.02 and 2,028.39 is: 3,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.72 : 5,804.02 = 2,028.39 : x
  2. Step 2: Convert to fraction form
    3,875.72/5,804.02 = 2,028.39/x
  3. Step 3: Cross multiply
    3,875.72x = 5,804.02 × 2,028.39
  4. Step 4: Simplify right side
    3,875.72x = 11,772,816.13
  5. Step 5: Solve for x
    x = 11,772,816.13/3,875.72
  6. Step 6: Final answer
    x = 3,037.58

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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.