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Finding the Fourth Proportional to 4,680.56, 6,457.32 and 2,909

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Solution

The fourth proportional to 4,680.56, 6,457.32 and 2,909 is: 4,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.56 : 6,457.32 = 2,909 : x
  2. Step 2: Convert to fraction form
    4,680.56/6,457.32 = 2,909/x
  3. Step 3: Cross multiply
    4,680.56x = 6,457.32 × 2,909
  4. Step 4: Simplify right side
    4,680.56x = 18,784,343.88
  5. Step 5: Solve for x
    x = 18,784,343.88/4,680.56
  6. Step 6: Final answer
    x = 4,013.27

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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.