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Finding the Fourth Proportional to 5,160.36, 7,743.62 and 1,873.71

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Solution

The fourth proportional to 5,160.36, 7,743.62 and 1,873.71 is: 2,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.36 : 7,743.62 = 1,873.71 : x
  2. Step 2: Convert to fraction form
    5,160.36/7,743.62 = 1,873.71/x
  3. Step 3: Cross multiply
    5,160.36x = 7,743.62 × 1,873.71
  4. Step 4: Simplify right side
    5,160.36x = 14,509,288.86
  5. Step 5: Solve for x
    x = 14,509,288.86/5,160.36
  6. Step 6: Final answer
    x = 2,811.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.