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Finding the Fourth Proportional to 4,157.64, 5,735.03 and 2,477.93

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Solution

The fourth proportional to 4,157.64, 5,735.03 and 2,477.93 is: 3,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.64 : 5,735.03 = 2,477.93 : x
  2. Step 2: Convert to fraction form
    4,157.64/5,735.03 = 2,477.93/x
  3. Step 3: Cross multiply
    4,157.64x = 5,735.03 × 2,477.93
  4. Step 4: Simplify right side
    4,157.64x = 14,210,961.82
  5. Step 5: Solve for x
    x = 14,210,961.82/4,157.64
  6. Step 6: Final answer
    x = 3,418.04

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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.