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Finding the Fourth Proportional to 5,049.71, 7,574.62 and 1,762.81

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Solution

The fourth proportional to 5,049.71, 7,574.62 and 1,762.81 is: 2,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.71 : 7,574.62 = 1,762.81 : x
  2. Step 2: Convert to fraction form
    5,049.71/7,574.62 = 1,762.81/x
  3. Step 3: Cross multiply
    5,049.71x = 7,574.62 × 1,762.81
  4. Step 4: Simplify right side
    5,049.71x = 13,352,620.94
  5. Step 5: Solve for x
    x = 13,352,620.94/5,049.71
  6. Step 6: Final answer
    x = 2,644.24

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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.