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Finding the Fourth Proportional to 5,614, 8,421.02 and 1,453.71

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Solution

The fourth proportional to 5,614, 8,421.02 and 1,453.71 is: 2,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614 : 8,421.02 = 1,453.71 : x
  2. Step 2: Convert to fraction form
    5,614/8,421.02 = 1,453.71/x
  3. Step 3: Cross multiply
    5,614x = 8,421.02 × 1,453.71
  4. Step 4: Simplify right side
    5,614x = 12,241,720.98
  5. Step 5: Solve for x
    x = 12,241,720.98/5,614
  6. Step 6: Final answer
    x = 2,180.57

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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.