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Finding the Fourth Proportional to 4,143.62, 5,719.02 and 2,376.42

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Solution

The fourth proportional to 4,143.62, 5,719.02 and 2,376.42 is: 3,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.62 : 5,719.02 = 2,376.42 : x
  2. Step 2: Convert to fraction form
    4,143.62/5,719.02 = 2,376.42/x
  3. Step 3: Cross multiply
    4,143.62x = 5,719.02 × 2,376.42
  4. Step 4: Simplify right side
    4,143.62x = 13,590,793.51
  5. Step 5: Solve for x
    x = 13,590,793.51/4,143.62
  6. Step 6: Final answer
    x = 3,279.93

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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.