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Finding the Fourth Proportional to 5,654.49, 7,802.94 and 3,136.59

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Solution

The fourth proportional to 5,654.49, 7,802.94 and 3,136.59 is: 4,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.49 : 7,802.94 = 3,136.59 : x
  2. Step 2: Convert to fraction form
    5,654.49/7,802.94 = 3,136.59/x
  3. Step 3: Cross multiply
    5,654.49x = 7,802.94 × 3,136.59
  4. Step 4: Simplify right side
    5,654.49x = 24,474,623.57
  5. Step 5: Solve for x
    x = 24,474,623.57/5,654.49
  6. Step 6: Final answer
    x = 4,328.35

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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.