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Finding the Fourth Proportional to 4,234, 6,348.68 and 1,459.12

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Solution

The fourth proportional to 4,234, 6,348.68 and 1,459.12 is: 2,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234 : 6,348.68 = 1,459.12 : x
  2. Step 2: Convert to fraction form
    4,234/6,348.68 = 1,459.12/x
  3. Step 3: Cross multiply
    4,234x = 6,348.68 × 1,459.12
  4. Step 4: Simplify right side
    4,234x = 9,263,485.96
  5. Step 5: Solve for x
    x = 9,263,485.96/4,234
  6. Step 6: Final answer
    x = 2,187.88

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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.