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Finding the Fourth Proportional to 3,232.95, 4,461.53 and 2,525.61

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Solution

The fourth proportional to 3,232.95, 4,461.53 and 2,525.61 is: 3,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.95 : 4,461.53 = 2,525.61 : x
  2. Step 2: Convert to fraction form
    3,232.95/4,461.53 = 2,525.61/x
  3. Step 3: Cross multiply
    3,232.95x = 4,461.53 × 2,525.61
  4. Step 4: Simplify right side
    3,232.95x = 11,268,103.09
  5. Step 5: Solve for x
    x = 11,268,103.09/3,232.95
  6. Step 6: Final answer
    x = 3,485.40

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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.