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Finding the Fourth Proportional to 4,777.65, 7,166.48 and 1,491.08

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Solution

The fourth proportional to 4,777.65, 7,166.48 and 1,491.08 is: 2,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.65 : 7,166.48 = 1,491.08 : x
  2. Step 2: Convert to fraction form
    4,777.65/7,166.48 = 1,491.08/x
  3. Step 3: Cross multiply
    4,777.65x = 7,166.48 × 1,491.08
  4. Step 4: Simplify right side
    4,777.65x = 10,685,751.71
  5. Step 5: Solve for x
    x = 10,685,751.71/4,777.65
  6. Step 6: Final answer
    x = 2,236.61

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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.