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Finding the Fourth Proportional to 5,076.16, 7,004.64 and 3,213.12

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Solution

The fourth proportional to 5,076.16, 7,004.64 and 3,213.12 is: 4,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.16 : 7,004.64 = 3,213.12 : x
  2. Step 2: Convert to fraction form
    5,076.16/7,004.64 = 3,213.12/x
  3. Step 3: Cross multiply
    5,076.16x = 7,004.64 × 3,213.12
  4. Step 4: Simplify right side
    5,076.16x = 22,506,748.88
  5. Step 5: Solve for x
    x = 22,506,748.88/5,076.16
  6. Step 6: Final answer
    x = 4,433.81

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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.