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Finding the Fourth Proportional to 5,130.42, 7,692.54 and 2,492.73

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Solution

The fourth proportional to 5,130.42, 7,692.54 and 2,492.73 is: 3,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.42 : 7,692.54 = 2,492.73 : x
  2. Step 2: Convert to fraction form
    5,130.42/7,692.54 = 2,492.73/x
  3. Step 3: Cross multiply
    5,130.42x = 7,692.54 × 2,492.73
  4. Step 4: Simplify right side
    5,130.42x = 19,175,393.00
  5. Step 5: Solve for x
    x = 19,175,393.00/5,130.42
  6. Step 6: Final answer
    x = 3,737.59

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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.