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Finding the Fourth Proportional to 4,157.05, 5,733.79 and 2,477.16

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Solution

The fourth proportional to 4,157.05, 5,733.79 and 2,477.16 is: 3,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.05 : 5,733.79 = 2,477.16 : x
  2. Step 2: Convert to fraction form
    4,157.05/5,733.79 = 2,477.16/x
  3. Step 3: Cross multiply
    4,157.05x = 5,733.79 × 2,477.16
  4. Step 4: Simplify right side
    4,157.05x = 14,203,515.24
  5. Step 5: Solve for x
    x = 14,203,515.24/4,157.05
  6. Step 6: Final answer
    x = 3,416.73

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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.