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Finding the Fourth Proportional to 4,157.13, 5,736.90 and 2,364.56

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Solution

The fourth proportional to 4,157.13, 5,736.90 and 2,364.56 is: 3,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.13 : 5,736.90 = 2,364.56 : x
  2. Step 2: Convert to fraction form
    4,157.13/5,736.90 = 2,364.56/x
  3. Step 3: Cross multiply
    4,157.13x = 5,736.90 × 2,364.56
  4. Step 4: Simplify right side
    4,157.13x = 13,565,215.58
  5. Step 5: Solve for x
    x = 13,565,215.58/4,157.13
  6. Step 6: Final answer
    x = 3,263.12

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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.