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Finding the Fourth Proportional to 4,457.59, 6,680.01 and 2,505.70

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Solution

The fourth proportional to 4,457.59, 6,680.01 and 2,505.70 is: 3,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.59 : 6,680.01 = 2,505.70 : x
  2. Step 2: Convert to fraction form
    4,457.59/6,680.01 = 2,505.70/x
  3. Step 3: Cross multiply
    4,457.59x = 6,680.01 × 2,505.70
  4. Step 4: Simplify right side
    4,457.59x = 16,738,101.06
  5. Step 5: Solve for x
    x = 16,738,101.06/4,457.59
  6. Step 6: Final answer
    x = 3,754.97

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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.