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Finding the Fourth Proportional to 6,242.58, 8,614.81 and 3,448.08

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Solution

The fourth proportional to 6,242.58, 8,614.81 and 3,448.08 is: 4,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.58 : 8,614.81 = 3,448.08 : x
  2. Step 2: Convert to fraction form
    6,242.58/8,614.81 = 3,448.08/x
  3. Step 3: Cross multiply
    6,242.58x = 8,614.81 × 3,448.08
  4. Step 4: Simplify right side
    6,242.58x = 29,704,536.82
  5. Step 5: Solve for x
    x = 29,704,536.82/6,242.58
  6. Step 6: Final answer
    x = 4,758.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.