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Finding the Fourth Proportional to 4,683.99, 7,027.41 and 1,762.74

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Solution

The fourth proportional to 4,683.99, 7,027.41 and 1,762.74 is: 2,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.99 : 7,027.41 = 1,762.74 : x
  2. Step 2: Convert to fraction form
    4,683.99/7,027.41 = 1,762.74/x
  3. Step 3: Cross multiply
    4,683.99x = 7,027.41 × 1,762.74
  4. Step 4: Simplify right side
    4,683.99x = 12,387,496.70
  5. Step 5: Solve for x
    x = 12,387,496.70/4,683.99
  6. Step 6: Final answer
    x = 2,644.65

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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.