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Finding the Fourth Proportional to 3,875.32, 5,805.40 and 3,096.96

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Solution

The fourth proportional to 3,875.32, 5,805.40 and 3,096.96 is: 4,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.32 : 5,805.40 = 3,096.96 : x
  2. Step 2: Convert to fraction form
    3,875.32/5,805.40 = 3,096.96/x
  3. Step 3: Cross multiply
    3,875.32x = 5,805.40 × 3,096.96
  4. Step 4: Simplify right side
    3,875.32x = 17,979,091.58
  5. Step 5: Solve for x
    x = 17,979,091.58/3,875.32
  6. Step 6: Final answer
    x = 4,639.38

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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.