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Finding the Fourth Proportional to 3,842.47, 5,762.94 and 1,761.99

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Solution

The fourth proportional to 3,842.47, 5,762.94 and 1,761.99 is: 2,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.47 : 5,762.94 = 1,761.99 : x
  2. Step 2: Convert to fraction form
    3,842.47/5,762.94 = 1,761.99/x
  3. Step 3: Cross multiply
    3,842.47x = 5,762.94 × 1,761.99
  4. Step 4: Simplify right side
    3,842.47x = 10,154,242.65
  5. Step 5: Solve for x
    x = 10,154,242.65/3,842.47
  6. Step 6: Final answer
    x = 2,642.63

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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.