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Finding the Fourth Proportional to 4,767.90, 7,154.64 and 1,994.34

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Solution

The fourth proportional to 4,767.90, 7,154.64 and 1,994.34 is: 2,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.90 : 7,154.64 = 1,994.34 : x
  2. Step 2: Convert to fraction form
    4,767.90/7,154.64 = 1,994.34/x
  3. Step 3: Cross multiply
    4,767.90x = 7,154.64 × 1,994.34
  4. Step 4: Simplify right side
    4,767.90x = 14,268,784.74
  5. Step 5: Solve for x
    x = 14,268,784.74/4,767.90
  6. Step 6: Final answer
    x = 2,992.68

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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.