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Finding the Fourth Proportional to 5,654.50, 7,803.30 and 3,136.66

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Solution

The fourth proportional to 5,654.50, 7,803.30 and 3,136.66 is: 4,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.50 : 7,803.30 = 3,136.66 : x
  2. Step 2: Convert to fraction form
    5,654.50/7,803.30 = 3,136.66/x
  3. Step 3: Cross multiply
    5,654.50x = 7,803.30 × 3,136.66
  4. Step 4: Simplify right side
    5,654.50x = 24,476,298.98
  5. Step 5: Solve for x
    x = 24,476,298.98/5,654.50
  6. Step 6: Final answer
    x = 4,328.64

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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.