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Finding the Fourth Proportional to 5,885.49, 8,121.61 and 5,415.29

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Solution

The fourth proportional to 5,885.49, 8,121.61 and 5,415.29 is: 7,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.49 : 8,121.61 = 5,415.29 : x
  2. Step 2: Convert to fraction form
    5,885.49/8,121.61 = 5,415.29/x
  3. Step 3: Cross multiply
    5,885.49x = 8,121.61 × 5,415.29
  4. Step 4: Simplify right side
    5,885.49x = 43,980,870.03
  5. Step 5: Solve for x
    x = 43,980,870.03/5,885.49
  6. Step 6: Final answer
    x = 7,472.76

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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.