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Finding the Fourth Proportional to 5,885.63, 8,122.16 and 3,233.08

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Solution

The fourth proportional to 5,885.63, 8,122.16 and 3,233.08 is: 4,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.63 : 8,122.16 = 3,233.08 : x
  2. Step 2: Convert to fraction form
    5,885.63/8,122.16 = 3,233.08/x
  3. Step 3: Cross multiply
    5,885.63x = 8,122.16 × 3,233.08
  4. Step 4: Simplify right side
    5,885.63x = 26,259,580.83
  5. Step 5: Solve for x
    x = 26,259,580.83/5,885.63
  6. Step 6: Final answer
    x = 4,461.65

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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.