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Finding the Fourth Proportional to 4,666.50, 6,440.61 and 2,677.05

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Solution

The fourth proportional to 4,666.50, 6,440.61 and 2,677.05 is: 3,694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.50 : 6,440.61 = 2,677.05 : x
  2. Step 2: Convert to fraction form
    4,666.50/6,440.61 = 2,677.05/x
  3. Step 3: Cross multiply
    4,666.50x = 6,440.61 × 2,677.05
  4. Step 4: Simplify right side
    4,666.50x = 17,241,835.00
  5. Step 5: Solve for x
    x = 17,241,835.00/4,666.50
  6. Step 6: Final answer
    x = 3,694.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.