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Finding the Fourth Proportional to 4,677.38, 7,014 and 1,753.64

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Solution

The fourth proportional to 4,677.38, 7,014 and 1,753.64 is: 2,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.38 : 7,014 = 1,753.64 : x
  2. Step 2: Convert to fraction form
    4,677.38/7,014 = 1,753.64/x
  3. Step 3: Cross multiply
    4,677.38x = 7,014 × 1,753.64
  4. Step 4: Simplify right side
    4,677.38x = 12,299,995.89
  5. Step 5: Solve for x
    x = 12,299,995.89/4,677.38
  6. Step 6: Final answer
    x = 2,629.68

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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.