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Finding the Fourth Proportional to 5,298.17, 7,945.37 and 1,599.26

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Solution

The fourth proportional to 5,298.17, 7,945.37 and 1,599.26 is: 2,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.17 : 7,945.37 = 1,599.26 : x
  2. Step 2: Convert to fraction form
    5,298.17/7,945.37 = 1,599.26/x
  3. Step 3: Cross multiply
    5,298.17x = 7,945.37 × 1,599.26
  4. Step 4: Simplify right side
    5,298.17x = 12,706,724.29
  5. Step 5: Solve for x
    x = 12,706,724.29/5,298.17
  6. Step 6: Final answer
    x = 2,398.32

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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.