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Finding the Fourth Proportional to 4,762.08, 7,135.26 and 1,640.39

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Solution

The fourth proportional to 4,762.08, 7,135.26 and 1,640.39 is: 2,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.08 : 7,135.26 = 1,640.39 : x
  2. Step 2: Convert to fraction form
    4,762.08/7,135.26 = 1,640.39/x
  3. Step 3: Cross multiply
    4,762.08x = 7,135.26 × 1,640.39
  4. Step 4: Simplify right side
    4,762.08x = 11,704,573.48
  5. Step 5: Solve for x
    x = 11,704,573.48/4,762.08
  6. Step 6: Final answer
    x = 2,457.87

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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.