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Finding the Fourth Proportional to 5,654.37, 7,802.82 and 3,136.52

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Solution

The fourth proportional to 5,654.37, 7,802.82 and 3,136.52 is: 4,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.37 : 7,802.82 = 3,136.52 : x
  2. Step 2: Convert to fraction form
    5,654.37/7,802.82 = 3,136.52/x
  3. Step 3: Cross multiply
    5,654.37x = 7,802.82 × 3,136.52
  4. Step 4: Simplify right side
    5,654.37x = 24,473,661.97
  5. Step 5: Solve for x
    x = 24,473,661.97/5,654.37
  6. Step 6: Final answer
    x = 4,328.27

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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.