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Finding the Fourth Proportional to 6,420.34, 8,859.18 and 3,902.98

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Solution

The fourth proportional to 6,420.34, 8,859.18 and 3,902.98 is: 5,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.34 : 8,859.18 = 3,902.98 : x
  2. Step 2: Convert to fraction form
    6,420.34/8,859.18 = 3,902.98/x
  3. Step 3: Cross multiply
    6,420.34x = 8,859.18 × 3,902.98
  4. Step 4: Simplify right side
    6,420.34x = 34,577,202.36
  5. Step 5: Solve for x
    x = 34,577,202.36/6,420.34
  6. Step 6: Final answer
    x = 5,385.57

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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.