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Finding the Fourth Proportional to 3,474.53, 5,211.80 and 2,597.93

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Solution

The fourth proportional to 3,474.53, 5,211.80 and 2,597.93 is: 3,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.53 : 5,211.80 = 2,597.93 : x
  2. Step 2: Convert to fraction form
    3,474.53/5,211.80 = 2,597.93/x
  3. Step 3: Cross multiply
    3,474.53x = 5,211.80 × 2,597.93
  4. Step 4: Simplify right side
    3,474.53x = 13,539,878.58
  5. Step 5: Solve for x
    x = 13,539,878.58/3,474.53
  6. Step 6: Final answer
    x = 3,896.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.