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Finding the Fourth Proportional to 3,716.34, 5,574.05 and 2,157.19

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Solution

The fourth proportional to 3,716.34, 5,574.05 and 2,157.19 is: 3,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.34 : 5,574.05 = 2,157.19 : x
  2. Step 2: Convert to fraction form
    3,716.34/5,574.05 = 2,157.19/x
  3. Step 3: Cross multiply
    3,716.34x = 5,574.05 × 2,157.19
  4. Step 4: Simplify right side
    3,716.34x = 12,024,284.92
  5. Step 5: Solve for x
    x = 12,024,284.92/3,716.34
  6. Step 6: Final answer
    x = 3,235.52

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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.