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Finding the Fourth Proportional to 5,807.77, 8,728.94 and 2,731.93

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Solution

The fourth proportional to 5,807.77, 8,728.94 and 2,731.93 is: 4,106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.77 : 8,728.94 = 2,731.93 : x
  2. Step 2: Convert to fraction form
    5,807.77/8,728.94 = 2,731.93/x
  3. Step 3: Cross multiply
    5,807.77x = 8,728.94 × 2,731.93
  4. Step 4: Simplify right side
    5,807.77x = 23,846,839.39
  5. Step 5: Solve for x
    x = 23,846,839.39/5,807.77
  6. Step 6: Final answer
    x = 4,106.02

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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.