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Finding the Fourth Proportional to 5,885.16, 8,829.27 and 2,188.46

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Solution

The fourth proportional to 5,885.16, 8,829.27 and 2,188.46 is: 3,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.16 : 8,829.27 = 2,188.46 : x
  2. Step 2: Convert to fraction form
    5,885.16/8,829.27 = 2,188.46/x
  3. Step 3: Cross multiply
    5,885.16x = 8,829.27 × 2,188.46
  4. Step 4: Simplify right side
    5,885.16x = 19,322,504.22
  5. Step 5: Solve for x
    x = 19,322,504.22/5,885.16
  6. Step 6: Final answer
    x = 3,283.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.