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Finding the Fourth Proportional to 3,614.71, 5,421.94 and 1,533.38

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Solution

The fourth proportional to 3,614.71, 5,421.94 and 1,533.38 is: 2,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.71 : 5,421.94 = 1,533.38 : x
  2. Step 2: Convert to fraction form
    3,614.71/5,421.94 = 1,533.38/x
  3. Step 3: Cross multiply
    3,614.71x = 5,421.94 × 1,533.38
  4. Step 4: Simplify right side
    3,614.71x = 8,313,894.36
  5. Step 5: Solve for x
    x = 8,313,894.36/3,614.71
  6. Step 6: Final answer
    x = 2,300.02

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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.