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Finding the Fourth Proportional to 5,296.94, 7,306.46 and 3,410.98

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Solution

The fourth proportional to 5,296.94, 7,306.46 and 3,410.98 is: 4,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.94 : 7,306.46 = 3,410.98 : x
  2. Step 2: Convert to fraction form
    5,296.94/7,306.46 = 3,410.98/x
  3. Step 3: Cross multiply
    5,296.94x = 7,306.46 × 3,410.98
  4. Step 4: Simplify right side
    5,296.94x = 24,922,188.93
  5. Step 5: Solve for x
    x = 24,922,188.93/5,296.94
  6. Step 6: Final answer
    x = 4,705.02

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1.5x scale

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.