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Finding the Fourth Proportional to 5,909.99, 8,155.49 and 3,814.11

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Solution

The fourth proportional to 5,909.99, 8,155.49 and 3,814.11 is: 5,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.99 : 8,155.49 = 3,814.11 : x
  2. Step 2: Convert to fraction form
    5,909.99/8,155.49 = 3,814.11/x
  3. Step 3: Cross multiply
    5,909.99x = 8,155.49 × 3,814.11
  4. Step 4: Simplify right side
    5,909.99x = 31,105,916.89
  5. Step 5: Solve for x
    x = 31,105,916.89/5,909.99
  6. Step 6: Final answer
    x = 5,263.28

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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.