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Finding the Fourth Proportional to 4,304.72, 6,459.96 and 2,114.96

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Solution

The fourth proportional to 4,304.72, 6,459.96 and 2,114.96 is: 3,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.72 : 6,459.96 = 2,114.96 : x
  2. Step 2: Convert to fraction form
    4,304.72/6,459.96 = 2,114.96/x
  3. Step 3: Cross multiply
    4,304.72x = 6,459.96 × 2,114.96
  4. Step 4: Simplify right side
    4,304.72x = 13,662,557.00
  5. Step 5: Solve for x
    x = 13,662,557.00/4,304.72
  6. Step 6: Final answer
    x = 3,173.85

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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.