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Finding the Fourth Proportional to 5,786.49, 7,997.63 and 5,103.93

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Solution

The fourth proportional to 5,786.49, 7,997.63 and 5,103.93 is: 7,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.49 : 7,997.63 = 5,103.93 : x
  2. Step 2: Convert to fraction form
    5,786.49/7,997.63 = 5,103.93/x
  3. Step 3: Cross multiply
    5,786.49x = 7,997.63 × 5,103.93
  4. Step 4: Simplify right side
    5,786.49x = 40,819,318.17
  5. Step 5: Solve for x
    x = 40,819,318.17/5,786.49
  6. Step 6: Final answer
    x = 7,054.25

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Double scale
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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.