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Finding the Fourth Proportional to 4,952.70, 7,428.60 and 1,665.36

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Solution

The fourth proportional to 4,952.70, 7,428.60 and 1,665.36 is: 2,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.70 : 7,428.60 = 1,665.36 : x
  2. Step 2: Convert to fraction form
    4,952.70/7,428.60 = 1,665.36/x
  3. Step 3: Cross multiply
    4,952.70x = 7,428.60 × 1,665.36
  4. Step 4: Simplify right side
    4,952.70x = 12,371,293.30
  5. Step 5: Solve for x
    x = 12,371,293.30/4,952.70
  6. Step 6: Final answer
    x = 2,497.89

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