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Finding the Fourth Proportional to 4,692.94, 6,476.46 and 2,597.06

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Solution

The fourth proportional to 4,692.94, 6,476.46 and 2,597.06 is: 3,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.94 : 6,476.46 = 2,597.06 : x
  2. Step 2: Convert to fraction form
    4,692.94/6,476.46 = 2,597.06/x
  3. Step 3: Cross multiply
    4,692.94x = 6,476.46 × 2,597.06
  4. Step 4: Simplify right side
    4,692.94x = 16,819,761.66
  5. Step 5: Solve for x
    x = 16,819,761.66/4,692.94
  6. Step 6: Final answer
    x = 3,584.06

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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.