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Finding the Fourth Proportional to 2,752.90, 3,796.29 and 2,525.24

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Solution

The fourth proportional to 2,752.90, 3,796.29 and 2,525.24 is: 3,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.90 : 3,796.29 = 2,525.24 : x
  2. Step 2: Convert to fraction form
    2,752.90/3,796.29 = 2,525.24/x
  3. Step 3: Cross multiply
    2,752.90x = 3,796.29 × 2,525.24
  4. Step 4: Simplify right side
    2,752.90x = 9,586,543.36
  5. Step 5: Solve for x
    x = 9,586,543.36/2,752.90
  6. Step 6: Final answer
    x = 3,482.34

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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.