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Finding the Fourth Proportional to 5,165.16, 7,128.06 and 2,807.46

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Solution

The fourth proportional to 5,165.16, 7,128.06 and 2,807.46 is: 3,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.16 : 7,128.06 = 2,807.46 : x
  2. Step 2: Convert to fraction form
    5,165.16/7,128.06 = 2,807.46/x
  3. Step 3: Cross multiply
    5,165.16x = 7,128.06 × 2,807.46
  4. Step 4: Simplify right side
    5,165.16x = 20,011,743.33
  5. Step 5: Solve for x
    x = 20,011,743.33/5,165.16
  6. Step 6: Final answer
    x = 3,874.37

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