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Finding the Fourth Proportional to 5,204.16, 7,182.16 and 2,966.08

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Solution

The fourth proportional to 5,204.16, 7,182.16 and 2,966.08 is: 4,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.16 : 7,182.16 = 2,966.08 : x
  2. Step 2: Convert to fraction form
    5,204.16/7,182.16 = 2,966.08/x
  3. Step 3: Cross multiply
    5,204.16x = 7,182.16 × 2,966.08
  4. Step 4: Simplify right side
    5,204.16x = 21,302,861.13
  5. Step 5: Solve for x
    x = 21,302,861.13/5,204.16
  6. Step 6: Final answer
    x = 4,093.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.