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Finding the Fourth Proportional to 5,287.74, 7,295.43 and 3,519.64

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Solution

The fourth proportional to 5,287.74, 7,295.43 and 3,519.64 is: 4,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.74 : 7,295.43 = 3,519.64 : x
  2. Step 2: Convert to fraction form
    5,287.74/7,295.43 = 3,519.64/x
  3. Step 3: Cross multiply
    5,287.74x = 7,295.43 × 3,519.64
  4. Step 4: Simplify right side
    5,287.74x = 25,677,287.25
  5. Step 5: Solve for x
    x = 25,677,287.25/5,287.74
  6. Step 6: Final answer
    x = 4,856.00

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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.