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Finding the Fourth Proportional to 4,666.97, 6,440.56 and 2,677.88

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Solution

The fourth proportional to 4,666.97, 6,440.56 and 2,677.88 is: 3,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.97 : 6,440.56 = 2,677.88 : x
  2. Step 2: Convert to fraction form
    4,666.97/6,440.56 = 2,677.88/x
  3. Step 3: Cross multiply
    4,666.97x = 6,440.56 × 2,677.88
  4. Step 4: Simplify right side
    4,666.97x = 17,247,056.22
  5. Step 5: Solve for x
    x = 17,247,056.22/4,666.97
  6. Step 6: Final answer
    x = 3,695.56

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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.