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Finding the Fourth Proportional to 5,130.34, 7,692.75 and 2,659.03

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Solution

The fourth proportional to 5,130.34, 7,692.75 and 2,659.03 is: 3,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.34 : 7,692.75 = 2,659.03 : x
  2. Step 2: Convert to fraction form
    5,130.34/7,692.75 = 2,659.03/x
  3. Step 3: Cross multiply
    5,130.34x = 7,692.75 × 2,659.03
  4. Step 4: Simplify right side
    5,130.34x = 20,455,253.03
  5. Step 5: Solve for x
    x = 20,455,253.03/5,130.34
  6. Step 6: Final answer
    x = 3,987.11

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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.