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Finding the Fourth Proportional to 3,852.48, 5,311.26 and 2,525.70

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Solution

The fourth proportional to 3,852.48, 5,311.26 and 2,525.70 is: 3,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.48 : 5,311.26 = 2,525.70 : x
  2. Step 2: Convert to fraction form
    3,852.48/5,311.26 = 2,525.70/x
  3. Step 3: Cross multiply
    3,852.48x = 5,311.26 × 2,525.70
  4. Step 4: Simplify right side
    3,852.48x = 13,414,649.38
  5. Step 5: Solve for x
    x = 13,414,649.38/3,852.48
  6. Step 6: Final answer
    x = 3,482.08

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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.