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Finding the Fourth Proportional to 5,273.46, 7,276.80 and 3,410.46

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Solution

The fourth proportional to 5,273.46, 7,276.80 and 3,410.46 is: 4,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.46 : 7,276.80 = 3,410.46 : x
  2. Step 2: Convert to fraction form
    5,273.46/7,276.80 = 3,410.46/x
  3. Step 3: Cross multiply
    5,273.46x = 7,276.80 × 3,410.46
  4. Step 4: Simplify right side
    5,273.46x = 24,817,235.33
  5. Step 5: Solve for x
    x = 24,817,235.33/5,273.46
  6. Step 6: Final answer
    x = 4,706.06

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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.