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Finding the Fourth Proportional to 5,128.06, 7,692.09 and 1,232.47

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Solution

The fourth proportional to 5,128.06, 7,692.09 and 1,232.47 is: 1,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.06 : 7,692.09 = 1,232.47 : x
  2. Step 2: Convert to fraction form
    5,128.06/7,692.09 = 1,232.47/x
  3. Step 3: Cross multiply
    5,128.06x = 7,692.09 × 1,232.47
  4. Step 4: Simplify right side
    5,128.06x = 9,480,228.62
  5. Step 5: Solve for x
    x = 9,480,228.62/5,128.06
  6. Step 6: Final answer
    x = 1,848.70

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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.