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Finding the Fourth Proportional to 5,865.16, 8,094.02 and 3,212.40

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Solution

The fourth proportional to 5,865.16, 8,094.02 and 3,212.40 is: 4,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.16 : 8,094.02 = 3,212.40 : x
  2. Step 2: Convert to fraction form
    5,865.16/8,094.02 = 3,212.40/x
  3. Step 3: Cross multiply
    5,865.16x = 8,094.02 × 3,212.40
  4. Step 4: Simplify right side
    5,865.16x = 26,001,202.95
  5. Step 5: Solve for x
    x = 26,001,202.95/5,865.16
  6. Step 6: Final answer
    x = 4,433.16

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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.