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Finding the Fourth Proportional to 4,074.73, 6,112.12 and 1,477.60

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Solution

The fourth proportional to 4,074.73, 6,112.12 and 1,477.60 is: 2,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.73 : 6,112.12 = 1,477.60 : x
  2. Step 2: Convert to fraction form
    4,074.73/6,112.12 = 1,477.60/x
  3. Step 3: Cross multiply
    4,074.73x = 6,112.12 × 1,477.60
  4. Step 4: Simplify right side
    4,074.73x = 9,031,268.51
  5. Step 5: Solve for x
    x = 9,031,268.51/4,074.73
  6. Step 6: Final answer
    x = 2,216.41

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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.