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Finding the Fourth Proportional to 5,642, 7,786 and 3,158

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Solution

The fourth proportional to 5,642, 7,786 and 3,158 is: 4,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642 : 7,786 = 3,158 : x
  2. Step 2: Convert to fraction form
    5,642/7,786 = 3,158/x
  3. Step 3: Cross multiply
    5,642x = 7,786 × 3,158
  4. Step 4: Simplify right side
    5,642x = 24,588,188
  5. Step 5: Solve for x
    x = 24,588,188/5,642
  6. Step 6: Final answer
    x = 4,358.06

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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.