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Finding the Fourth Proportional to 6,128.32, 8,454.28 and 3,769.60

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Solution

The fourth proportional to 6,128.32, 8,454.28 and 3,769.60 is: 5,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.32 : 8,454.28 = 3,769.60 : x
  2. Step 2: Convert to fraction form
    6,128.32/8,454.28 = 3,769.60/x
  3. Step 3: Cross multiply
    6,128.32x = 8,454.28 × 3,769.60
  4. Step 4: Simplify right side
    6,128.32x = 31,869,253.89
  5. Step 5: Solve for x
    x = 31,869,253.89/6,128.32
  6. Step 6: Final answer
    x = 5,200.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.