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Finding the Fourth Proportional to 6,114.31, 8,438.31 and 3,595.17

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Solution

The fourth proportional to 6,114.31, 8,438.31 and 3,595.17 is: 4,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.31 : 8,438.31 = 3,595.17 : x
  2. Step 2: Convert to fraction form
    6,114.31/8,438.31 = 3,595.17/x
  3. Step 3: Cross multiply
    6,114.31x = 8,438.31 × 3,595.17
  4. Step 4: Simplify right side
    6,114.31x = 30,337,158.96
  5. Step 5: Solve for x
    x = 30,337,158.96/6,114.31
  6. Step 6: Final answer
    x = 4,961.67

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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.