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Finding the Fourth Proportional to 5,128.24, 7,692.42 and 1,430.24

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Solution

The fourth proportional to 5,128.24, 7,692.42 and 1,430.24 is: 2,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.24 : 7,692.42 = 1,430.24 : x
  2. Step 2: Convert to fraction form
    5,128.24/7,692.42 = 1,430.24/x
  3. Step 3: Cross multiply
    5,128.24x = 7,692.42 × 1,430.24
  4. Step 4: Simplify right side
    5,128.24x = 11,002,043.12
  5. Step 5: Solve for x
    x = 11,002,043.12/5,128.24
  6. Step 6: Final answer
    x = 2,145.38

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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.