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Finding the Fourth Proportional to 4,966.37, 7,451.17 and 2,368.97

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Solution

The fourth proportional to 4,966.37, 7,451.17 and 2,368.97 is: 3,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.37 : 7,451.17 = 2,368.97 : x
  2. Step 2: Convert to fraction form
    4,966.37/7,451.17 = 2,368.97/x
  3. Step 3: Cross multiply
    4,966.37x = 7,451.17 × 2,368.97
  4. Step 4: Simplify right side
    4,966.37x = 17,651,555.02
  5. Step 5: Solve for x
    x = 17,651,555.02/4,966.37
  6. Step 6: Final answer
    x = 3,554.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.