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Finding the Fourth Proportional to 4,767.02, 7,149.66 and 1,992.96

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Solution

The fourth proportional to 4,767.02, 7,149.66 and 1,992.96 is: 2,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.02 : 7,149.66 = 1,992.96 : x
  2. Step 2: Convert to fraction form
    4,767.02/7,149.66 = 1,992.96/x
  3. Step 3: Cross multiply
    4,767.02x = 7,149.66 × 1,992.96
  4. Step 4: Simplify right side
    4,767.02x = 14,248,986.39
  5. Step 5: Solve for x
    x = 14,248,986.39/4,767.02
  6. Step 6: Final answer
    x = 2,989.08

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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.