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Finding the Fourth Proportional to 5,086.36, 7,628.10 and 1,798.48

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Solution

The fourth proportional to 5,086.36, 7,628.10 and 1,798.48 is: 2,697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.36 : 7,628.10 = 1,798.48 : x
  2. Step 2: Convert to fraction form
    5,086.36/7,628.10 = 1,798.48/x
  3. Step 3: Cross multiply
    5,086.36x = 7,628.10 × 1,798.48
  4. Step 4: Simplify right side
    5,086.36x = 13,718,985.29
  5. Step 5: Solve for x
    x = 13,718,985.29/5,086.36
  6. Step 6: Final answer
    x = 2,697.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.