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Finding the Fourth Proportional to 5,673.54, 7,827.30 and 4,184.99

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Solution

The fourth proportional to 5,673.54, 7,827.30 and 4,184.99 is: 5,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.54 : 7,827.30 = 4,184.99 : x
  2. Step 2: Convert to fraction form
    5,673.54/7,827.30 = 4,184.99/x
  3. Step 3: Cross multiply
    5,673.54x = 7,827.30 × 4,184.99
  4. Step 4: Simplify right side
    5,673.54x = 32,757,172.23
  5. Step 5: Solve for x
    x = 32,757,172.23/5,673.54
  6. Step 6: Final answer
    x = 5,773.67

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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.