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Finding the Fourth Proportional to 5,165.64, 7,128.54 and 4,418.64

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Solution

The fourth proportional to 5,165.64, 7,128.54 and 4,418.64 is: 6,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.64 : 7,128.54 = 4,418.64 : x
  2. Step 2: Convert to fraction form
    5,165.64/7,128.54 = 4,418.64/x
  3. Step 3: Cross multiply
    5,165.64x = 7,128.54 × 4,418.64
  4. Step 4: Simplify right side
    5,165.64x = 31,498,451.99
  5. Step 5: Solve for x
    x = 31,498,451.99/5,165.64
  6. Step 6: Final answer
    x = 6,097.69

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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.