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Finding the Fourth Proportional to 3,994.93, 5,992.40 and 1,530.51

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Solution

The fourth proportional to 3,994.93, 5,992.40 and 1,530.51 is: 2,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.93 : 5,992.40 = 1,530.51 : x
  2. Step 2: Convert to fraction form
    3,994.93/5,992.40 = 1,530.51/x
  3. Step 3: Cross multiply
    3,994.93x = 5,992.40 × 1,530.51
  4. Step 4: Simplify right side
    3,994.93x = 9,171,428.12
  5. Step 5: Solve for x
    x = 9,171,428.12/3,994.93
  6. Step 6: Final answer
    x = 2,295.77

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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.