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Finding the Fourth Proportional to 4,628.09, 6,943.48 and 1,666.48

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Solution

The fourth proportional to 4,628.09, 6,943.48 and 1,666.48 is: 2,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.09 : 6,943.48 = 1,666.48 : x
  2. Step 2: Convert to fraction form
    4,628.09/6,943.48 = 1,666.48/x
  3. Step 3: Cross multiply
    4,628.09x = 6,943.48 × 1,666.48
  4. Step 4: Simplify right side
    4,628.09x = 11,571,170.55
  5. Step 5: Solve for x
    x = 11,571,170.55/4,628.09
  6. Step 6: Final answer
    x = 2,500.20

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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.