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Finding the Fourth Proportional to 5,294.16, 7,933.80 and 5,136.48

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Solution

The fourth proportional to 5,294.16, 7,933.80 and 5,136.48 is: 7,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.16 : 7,933.80 = 5,136.48 : x
  2. Step 2: Convert to fraction form
    5,294.16/7,933.80 = 5,136.48/x
  3. Step 3: Cross multiply
    5,294.16x = 7,933.80 × 5,136.48
  4. Step 4: Simplify right side
    5,294.16x = 40,751,805.02
  5. Step 5: Solve for x
    x = 40,751,805.02/5,294.16
  6. Step 6: Final answer
    x = 7,697.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.