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Finding the Fourth Proportional to 3,676.22, 5,071.85 and 2,417.96

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Solution

The fourth proportional to 3,676.22, 5,071.85 and 2,417.96 is: 3,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.22 : 5,071.85 = 2,417.96 : x
  2. Step 2: Convert to fraction form
    3,676.22/5,071.85 = 2,417.96/x
  3. Step 3: Cross multiply
    3,676.22x = 5,071.85 × 2,417.96
  4. Step 4: Simplify right side
    3,676.22x = 12,263,492.98
  5. Step 5: Solve for x
    x = 12,263,492.98/3,676.22
  6. Step 6: Final answer
    x = 3,335.90

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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.