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Finding the Fourth Proportional to 5,048.97, 7,574.73 and 1,762.11

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Solution

The fourth proportional to 5,048.97, 7,574.73 and 1,762.11 is: 2,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.97 : 7,574.73 = 1,762.11 : x
  2. Step 2: Convert to fraction form
    5,048.97/7,574.73 = 1,762.11/x
  3. Step 3: Cross multiply
    5,048.97x = 7,574.73 × 1,762.11
  4. Step 4: Simplify right side
    5,048.97x = 13,347,507.48
  5. Step 5: Solve for x
    x = 13,347,507.48/5,048.97
  6. Step 6: Final answer
    x = 2,643.61

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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.