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Finding the Fourth Proportional to 4,620.48, 6,378 and 3,136.08

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Solution

The fourth proportional to 4,620.48, 6,378 and 3,136.08 is: 4,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.48 : 6,378 = 3,136.08 : x
  2. Step 2: Convert to fraction form
    4,620.48/6,378 = 3,136.08/x
  3. Step 3: Cross multiply
    4,620.48x = 6,378 × 3,136.08
  4. Step 4: Simplify right side
    4,620.48x = 20,001,918.24
  5. Step 5: Solve for x
    x = 20,001,918.24/4,620.48
  6. Step 6: Final answer
    x = 4,328.97

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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.