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Finding the Fourth Proportional to 4,156.93, 5,692.88 and 4,102.26

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Solution

The fourth proportional to 4,156.93, 5,692.88 and 4,102.26 is: 5,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.93 : 5,692.88 = 4,102.26 : x
  2. Step 2: Convert to fraction form
    4,156.93/5,692.88 = 4,102.26/x
  3. Step 3: Cross multiply
    4,156.93x = 5,692.88 × 4,102.26
  4. Step 4: Simplify right side
    4,156.93x = 23,353,673.91
  5. Step 5: Solve for x
    x = 23,353,673.91/4,156.93
  6. Step 6: Final answer
    x = 5,618.01

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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.