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Finding the Fourth Proportional to 4,752.96, 7,141.84 and 4,457.76

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Solution

The fourth proportional to 4,752.96, 7,141.84 and 4,457.76 is: 6,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.96 : 7,141.84 = 4,457.76 : x
  2. Step 2: Convert to fraction form
    4,752.96/7,141.84 = 4,457.76/x
  3. Step 3: Cross multiply
    4,752.96x = 7,141.84 × 4,457.76
  4. Step 4: Simplify right side
    4,752.96x = 31,836,608.68
  5. Step 5: Solve for x
    x = 31,836,608.68/4,752.96
  6. Step 6: Final answer
    x = 6,698.27

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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.