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Finding the Fourth Proportional to 4,184.72, 5,774.88 and 2,416.88

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Solution

The fourth proportional to 4,184.72, 5,774.88 and 2,416.88 is: 3,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.72 : 5,774.88 = 2,416.88 : x
  2. Step 2: Convert to fraction form
    4,184.72/5,774.88 = 2,416.88/x
  3. Step 3: Cross multiply
    4,184.72x = 5,774.88 × 2,416.88
  4. Step 4: Simplify right side
    4,184.72x = 13,957,191.97
  5. Step 5: Solve for x
    x = 13,957,191.97/4,184.72
  6. Step 6: Final answer
    x = 3,335.27

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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.