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Finding the Fourth Proportional to 3,340.02, 5,007.57 and 1,778.10

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Solution

The fourth proportional to 3,340.02, 5,007.57 and 1,778.10 is: 2,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.02 : 5,007.57 = 1,778.10 : x
  2. Step 2: Convert to fraction form
    3,340.02/5,007.57 = 1,778.10/x
  3. Step 3: Cross multiply
    3,340.02x = 5,007.57 × 1,778.10
  4. Step 4: Simplify right side
    3,340.02x = 8,903,960.22
  5. Step 5: Solve for x
    x = 8,903,960.22/3,340.02
  6. Step 6: Final answer
    x = 2,665.84

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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.