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Finding the Fourth Proportional to 6,175.44, 8,518.37 and 5,429.43

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Solution

The fourth proportional to 6,175.44, 8,518.37 and 5,429.43 is: 7,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.44 : 8,518.37 = 5,429.43 : x
  2. Step 2: Convert to fraction form
    6,175.44/8,518.37 = 5,429.43/x
  3. Step 3: Cross multiply
    6,175.44x = 8,518.37 × 5,429.43
  4. Step 4: Simplify right side
    6,175.44x = 46,249,866.48
  5. Step 5: Solve for x
    x = 46,249,866.48/6,175.44
  6. Step 6: Final answer
    x = 7,489.32

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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.