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Finding the Fourth Proportional to 3,866.58, 5,329.65 and 3,025.93

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Solution

The fourth proportional to 3,866.58, 5,329.65 and 3,025.93 is: 4,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.58 : 5,329.65 = 3,025.93 : x
  2. Step 2: Convert to fraction form
    3,866.58/5,329.65 = 3,025.93/x
  3. Step 3: Cross multiply
    3,866.58x = 5,329.65 × 3,025.93
  4. Step 4: Simplify right side
    3,866.58x = 16,127,147.82
  5. Step 5: Solve for x
    x = 16,127,147.82/3,866.58
  6. Step 6: Final answer
    x = 4,170.91

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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.