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Finding the Fourth Proportional to 5,742.66, 8,614.94 and 2,453.80

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Solution

The fourth proportional to 5,742.66, 8,614.94 and 2,453.80 is: 3,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.66 : 8,614.94 = 2,453.80 : x
  2. Step 2: Convert to fraction form
    5,742.66/8,614.94 = 2,453.80/x
  3. Step 3: Cross multiply
    5,742.66x = 8,614.94 × 2,453.80
  4. Step 4: Simplify right side
    5,742.66x = 21,139,339.77
  5. Step 5: Solve for x
    x = 21,139,339.77/5,742.66
  6. Step 6: Final answer
    x = 3,681.11

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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.