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Finding the Fourth Proportional to 5,104.81, 7,655.05 and 3,706.49

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Solution

The fourth proportional to 5,104.81, 7,655.05 and 3,706.49 is: 5,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.81 : 7,655.05 = 3,706.49 : x
  2. Step 2: Convert to fraction form
    5,104.81/7,655.05 = 3,706.49/x
  3. Step 3: Cross multiply
    5,104.81x = 7,655.05 × 3,706.49
  4. Step 4: Simplify right side
    5,104.81x = 28,373,390.05
  5. Step 5: Solve for x
    x = 28,373,390.05/5,104.81
  6. Step 6: Final answer
    x = 5,558.17

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