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Finding the Fourth Proportional to 4,178.96, 5,776.84 and 3,347.88

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Solution

The fourth proportional to 4,178.96, 5,776.84 and 3,347.88 is: 4,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.96 : 5,776.84 = 3,347.88 : x
  2. Step 2: Convert to fraction form
    4,178.96/5,776.84 = 3,347.88/x
  3. Step 3: Cross multiply
    4,178.96x = 5,776.84 × 3,347.88
  4. Step 4: Simplify right side
    4,178.96x = 19,340,167.10
  5. Step 5: Solve for x
    x = 19,340,167.10/4,178.96
  6. Step 6: Final answer
    x = 4,627.99

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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.