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Finding the Fourth Proportional to 4,952.82, 7,424.10 and 1,664.81

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Solution

The fourth proportional to 4,952.82, 7,424.10 and 1,664.81 is: 2,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.82 : 7,424.10 = 1,664.81 : x
  2. Step 2: Convert to fraction form
    4,952.82/7,424.10 = 1,664.81/x
  3. Step 3: Cross multiply
    4,952.82x = 7,424.10 × 1,664.81
  4. Step 4: Simplify right side
    4,952.82x = 12,359,678.80
  5. Step 5: Solve for x
    x = 12,359,678.80/4,952.82
  6. Step 6: Final answer
    x = 2,495.48

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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.