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Finding the Fourth Proportional to 4,692.29, 7,044.64 and 4,305.51

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Solution

The fourth proportional to 4,692.29, 7,044.64 and 4,305.51 is: 6,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.29 : 7,044.64 = 4,305.51 : x
  2. Step 2: Convert to fraction form
    4,692.29/7,044.64 = 4,305.51/x
  3. Step 3: Cross multiply
    4,692.29x = 7,044.64 × 4,305.51
  4. Step 4: Simplify right side
    4,692.29x = 30,330,757.20
  5. Step 5: Solve for x
    x = 30,330,757.20/4,692.29
  6. Step 6: Final answer
    x = 6,463.96

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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.