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Finding the Fourth Proportional to 4,692.36, 6,475.32 and 2,596.44

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Solution

The fourth proportional to 4,692.36, 6,475.32 and 2,596.44 is: 3,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.36 : 6,475.32 = 2,596.44 : x
  2. Step 2: Convert to fraction form
    4,692.36/6,475.32 = 2,596.44/x
  3. Step 3: Cross multiply
    4,692.36x = 6,475.32 × 2,596.44
  4. Step 4: Simplify right side
    4,692.36x = 16,812,779.86
  5. Step 5: Solve for x
    x = 16,812,779.86/4,692.36
  6. Step 6: Final answer
    x = 3,583.01

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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.