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Finding the Fourth Proportional to 3,800.92, 5,688.40 and 3,185.32

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Solution

The fourth proportional to 3,800.92, 5,688.40 and 3,185.32 is: 4,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.92 : 5,688.40 = 3,185.32 : x
  2. Step 2: Convert to fraction form
    3,800.92/5,688.40 = 3,185.32/x
  3. Step 3: Cross multiply
    3,800.92x = 5,688.40 × 3,185.32
  4. Step 4: Simplify right side
    3,800.92x = 18,119,374.29
  5. Step 5: Solve for x
    x = 18,119,374.29/3,800.92
  6. Step 6: Final answer
    x = 4,767.10

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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.