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Finding the Fourth Proportional to 3,736.68, 5,605.20 and 1,428

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Solution

The fourth proportional to 3,736.68, 5,605.20 and 1,428 is: 2,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.68 : 5,605.20 = 1,428 : x
  2. Step 2: Convert to fraction form
    3,736.68/5,605.20 = 1,428/x
  3. Step 3: Cross multiply
    3,736.68x = 5,605.20 × 1,428
  4. Step 4: Simplify right side
    3,736.68x = 8,004,225.60
  5. Step 5: Solve for x
    x = 8,004,225.60/3,736.68
  6. Step 6: Final answer
    x = 2,142.07

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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.