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Finding the Fourth Proportional to 4,160.75, 5,741.84 and 2,392.32

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Solution

The fourth proportional to 4,160.75, 5,741.84 and 2,392.32 is: 3,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.75 : 5,741.84 = 2,392.32 : x
  2. Step 2: Convert to fraction form
    4,160.75/5,741.84 = 2,392.32/x
  3. Step 3: Cross multiply
    4,160.75x = 5,741.84 × 2,392.32
  4. Step 4: Simplify right side
    4,160.75x = 13,736,306.71
  5. Step 5: Solve for x
    x = 13,736,306.71/4,160.75
  6. Step 6: Final answer
    x = 3,301.40

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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.