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Finding the Fourth Proportional to 5,654.48, 7,802.75 and 3,136.34

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Solution

The fourth proportional to 5,654.48, 7,802.75 and 3,136.34 is: 4,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.48 : 7,802.75 = 3,136.34 : x
  2. Step 2: Convert to fraction form
    5,654.48/7,802.75 = 3,136.34/x
  3. Step 3: Cross multiply
    5,654.48x = 7,802.75 × 3,136.34
  4. Step 4: Simplify right side
    5,654.48x = 24,472,022.24
  5. Step 5: Solve for x
    x = 24,472,022.24/5,654.48
  6. Step 6: Final answer
    x = 4,327.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.