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Finding the Fourth Proportional to 4,167.99, 5,756.13 and 3,605.76

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Solution

The fourth proportional to 4,167.99, 5,756.13 and 3,605.76 is: 4,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.99 : 5,756.13 = 3,605.76 : x
  2. Step 2: Convert to fraction form
    4,167.99/5,756.13 = 3,605.76/x
  3. Step 3: Cross multiply
    4,167.99x = 5,756.13 × 3,605.76
  4. Step 4: Simplify right side
    4,167.99x = 20,755,223.31
  5. Step 5: Solve for x
    x = 20,755,223.31/4,167.99
  6. Step 6: Final answer
    x = 4,979.67

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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.