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Finding the Fourth Proportional to 4,692.08, 6,440.57 and 4,149.06

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Solution

The fourth proportional to 4,692.08, 6,440.57 and 4,149.06 is: 5,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.08 : 6,440.57 = 4,149.06 : x
  2. Step 2: Convert to fraction form
    4,692.08/6,440.57 = 4,149.06/x
  3. Step 3: Cross multiply
    4,692.08x = 6,440.57 × 4,149.06
  4. Step 4: Simplify right side
    4,692.08x = 26,722,303.31
  5. Step 5: Solve for x
    x = 26,722,303.31/4,692.08
  6. Step 6: Final answer
    x = 5,695.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.