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Finding the Fourth Proportional to 5,402.17, 8,103.26 and 1,298.17

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Solution

The fourth proportional to 5,402.17, 8,103.26 and 1,298.17 is: 1,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.17 : 8,103.26 = 1,298.17 : x
  2. Step 2: Convert to fraction form
    5,402.17/8,103.26 = 1,298.17/x
  3. Step 3: Cross multiply
    5,402.17x = 8,103.26 × 1,298.17
  4. Step 4: Simplify right side
    5,402.17x = 10,519,409.03
  5. Step 5: Solve for x
    x = 10,519,409.03/5,402.17
  6. Step 6: Final answer
    x = 1,947.26

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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.