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Finding the Fourth Proportional to 5,204.70, 7,182.66 and 2,966.92

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Solution

The fourth proportional to 5,204.70, 7,182.66 and 2,966.92 is: 4,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.70 : 7,182.66 = 2,966.92 : x
  2. Step 2: Convert to fraction form
    5,204.70/7,182.66 = 2,966.92/x
  3. Step 3: Cross multiply
    5,204.70x = 7,182.66 × 2,966.92
  4. Step 4: Simplify right side
    5,204.70x = 21,310,377.61
  5. Step 5: Solve for x
    x = 21,310,377.61/5,204.70
  6. Step 6: Final answer
    x = 4,094.45

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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.