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Finding the Fourth Proportional to 4,457.70, 6,685.50 and 1,824.50

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Solution

The fourth proportional to 4,457.70, 6,685.50 and 1,824.50 is: 2,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.70 : 6,685.50 = 1,824.50 : x
  2. Step 2: Convert to fraction form
    4,457.70/6,685.50 = 1,824.50/x
  3. Step 3: Cross multiply
    4,457.70x = 6,685.50 × 1,824.50
  4. Step 4: Simplify right side
    4,457.70x = 12,197,694.75
  5. Step 5: Solve for x
    x = 12,197,694.75/4,457.70
  6. Step 6: Final answer
    x = 2,736.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.