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Finding the Fourth Proportional to 5,165.19, 7,128 and 2,807.37

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Solution

The fourth proportional to 5,165.19, 7,128 and 2,807.37 is: 3,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.19 : 7,128 = 2,807.37 : x
  2. Step 2: Convert to fraction form
    5,165.19/7,128 = 2,807.37/x
  3. Step 3: Cross multiply
    5,165.19x = 7,128 × 2,807.37
  4. Step 4: Simplify right side
    5,165.19x = 20,010,933.36
  5. Step 5: Solve for x
    x = 20,010,933.36/5,165.19
  6. Step 6: Final answer
    x = 3,874.19

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Why These Related Problems?

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