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Finding the Fourth Proportional to 3,116.16, 4,676.27 and 2,865.87

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Solution

The fourth proportional to 3,116.16, 4,676.27 and 2,865.87 is: 4,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.16 : 4,676.27 = 2,865.87 : x
  2. Step 2: Convert to fraction form
    3,116.16/4,676.27 = 2,865.87/x
  3. Step 3: Cross multiply
    3,116.16x = 4,676.27 × 2,865.87
  4. Step 4: Simplify right side
    3,116.16x = 13,401,567.58
  5. Step 5: Solve for x
    x = 13,401,567.58/3,116.16
  6. Step 6: Final answer
    x = 4,300.67

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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.