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Finding the Fourth Proportional to 4,287.56, 6,434.98 and 1,692.32

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Solution

The fourth proportional to 4,287.56, 6,434.98 and 1,692.32 is: 2,539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.56 : 6,434.98 = 1,692.32 : x
  2. Step 2: Convert to fraction form
    4,287.56/6,434.98 = 1,692.32/x
  3. Step 3: Cross multiply
    4,287.56x = 6,434.98 × 1,692.32
  4. Step 4: Simplify right side
    4,287.56x = 10,890,045.35
  5. Step 5: Solve for x
    x = 10,890,045.35/4,287.56
  6. Step 6: Final answer
    x = 2,539.92

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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.