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Finding the Fourth Proportional to 4,814, 7,207.34 and 3,329.88

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Solution

The fourth proportional to 4,814, 7,207.34 and 3,329.88 is: 4,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814 : 7,207.34 = 3,329.88 : x
  2. Step 2: Convert to fraction form
    4,814/7,207.34 = 3,329.88/x
  3. Step 3: Cross multiply
    4,814x = 7,207.34 × 3,329.88
  4. Step 4: Simplify right side
    4,814x = 23,999,577.32
  5. Step 5: Solve for x
    x = 23,999,577.32/4,814
  6. Step 6: Final answer
    x = 4,985.37

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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.