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Finding the Fourth Proportional to 2,807.70, 3,923.10 and 2,807.70

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Solution

The fourth proportional to 2,807.70, 3,923.10 and 2,807.70 is: 3,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.70 : 3,923.10 = 2,807.70 : x
  2. Step 2: Convert to fraction form
    2,807.70/3,923.10 = 2,807.70/x
  3. Step 3: Cross multiply
    2,807.70x = 3,923.10 × 2,807.70
  4. Step 4: Simplify right side
    2,807.70x = 11,014,887.87
  5. Step 5: Solve for x
    x = 11,014,887.87/2,807.70
  6. Step 6: Final answer
    x = 3,923.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.