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Finding the Fourth Proportional to 5,153.73, 7,760.82 and 3,703.02

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Solution

The fourth proportional to 5,153.73, 7,760.82 and 3,703.02 is: 5,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.73 : 7,760.82 = 3,703.02 : x
  2. Step 2: Convert to fraction form
    5,153.73/7,760.82 = 3,703.02/x
  3. Step 3: Cross multiply
    5,153.73x = 7,760.82 × 3,703.02
  4. Step 4: Simplify right side
    5,153.73x = 28,738,471.68
  5. Step 5: Solve for x
    x = 28,738,471.68/5,153.73
  6. Step 6: Final answer
    x = 5,576.25

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.