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Finding the Fourth Proportional to 5,985.67, 8,258.97 and 3,467.63

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Solution

The fourth proportional to 5,985.67, 8,258.97 and 3,467.63 is: 4,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.67 : 8,258.97 = 3,467.63 : x
  2. Step 2: Convert to fraction form
    5,985.67/8,258.97 = 3,467.63/x
  3. Step 3: Cross multiply
    5,985.67x = 8,258.97 × 3,467.63
  4. Step 4: Simplify right side
    5,985.67x = 28,639,052.14
  5. Step 5: Solve for x
    x = 28,639,052.14/5,985.67
  6. Step 6: Final answer
    x = 4,784.60

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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.