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Finding the Fourth Proportional to 5,378.82, 7,424.68 and 3,254.46

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Solution

The fourth proportional to 5,378.82, 7,424.68 and 3,254.46 is: 4,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.82 : 7,424.68 = 3,254.46 : x
  2. Step 2: Convert to fraction form
    5,378.82/7,424.68 = 3,254.46/x
  3. Step 3: Cross multiply
    5,378.82x = 7,424.68 × 3,254.46
  4. Step 4: Simplify right side
    5,378.82x = 24,163,324.07
  5. Step 5: Solve for x
    x = 24,163,324.07/5,378.82
  6. Step 6: Final answer
    x = 4,492.31

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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.