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Finding the Fourth Proportional to 3,623.63, 5,428.53 and 1,953.61

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Solution

The fourth proportional to 3,623.63, 5,428.53 and 1,953.61 is: 2,926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.63 : 5,428.53 = 1,953.61 : x
  2. Step 2: Convert to fraction form
    3,623.63/5,428.53 = 1,953.61/x
  3. Step 3: Cross multiply
    3,623.63x = 5,428.53 × 1,953.61
  4. Step 4: Simplify right side
    3,623.63x = 10,605,237.28
  5. Step 5: Solve for x
    x = 10,605,237.28/3,623.63
  6. Step 6: Final answer
    x = 2,926.69

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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.