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Finding the Fourth Proportional to 5,762.98, 8,642.30 and 2,474.38

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Solution

The fourth proportional to 5,762.98, 8,642.30 and 2,474.38 is: 3,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.98 : 8,642.30 = 2,474.38 : x
  2. Step 2: Convert to fraction form
    5,762.98/8,642.30 = 2,474.38/x
  3. Step 3: Cross multiply
    5,762.98x = 8,642.30 × 2,474.38
  4. Step 4: Simplify right side
    5,762.98x = 21,384,334.27
  5. Step 5: Solve for x
    x = 21,384,334.27/5,762.98
  6. Step 6: Final answer
    x = 3,710.64

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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.