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Finding the Fourth Proportional to 4,160.93, 5,742.63 and 2,392.70

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Solution

The fourth proportional to 4,160.93, 5,742.63 and 2,392.70 is: 3,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.93 : 5,742.63 = 2,392.70 : x
  2. Step 2: Convert to fraction form
    4,160.93/5,742.63 = 2,392.70/x
  3. Step 3: Cross multiply
    4,160.93x = 5,742.63 × 2,392.70
  4. Step 4: Simplify right side
    4,160.93x = 13,740,362.09
  5. Step 5: Solve for x
    x = 13,740,362.09/4,160.93
  6. Step 6: Final answer
    x = 3,302.24

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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.