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Finding the Fourth Proportional to 3,716.05, 5,123.67 and 3,210.99

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Solution

The fourth proportional to 3,716.05, 5,123.67 and 3,210.99 is: 4,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.05 : 5,123.67 = 3,210.99 : x
  2. Step 2: Convert to fraction form
    3,716.05/5,123.67 = 3,210.99/x
  3. Step 3: Cross multiply
    3,716.05x = 5,123.67 × 3,210.99
  4. Step 4: Simplify right side
    3,716.05x = 16,452,053.13
  5. Step 5: Solve for x
    x = 16,452,053.13/3,716.05
  6. Step 6: Final answer
    x = 4,427.30

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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.