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Finding the Fourth Proportional to 4,178.34, 5,776.92 and 3,994.74

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Solution

The fourth proportional to 4,178.34, 5,776.92 and 3,994.74 is: 5,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.34 : 5,776.92 = 3,994.74 : x
  2. Step 2: Convert to fraction form
    4,178.34/5,776.92 = 3,994.74/x
  3. Step 3: Cross multiply
    4,178.34x = 5,776.92 × 3,994.74
  4. Step 4: Simplify right side
    4,178.34x = 23,077,293.40
  5. Step 5: Solve for x
    x = 23,077,293.40/4,178.34
  6. Step 6: Final answer
    x = 5,523.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.