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Finding the Fourth Proportional to 5,807.51, 8,709.04 and 1,857.92

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Solution

The fourth proportional to 5,807.51, 8,709.04 and 1,857.92 is: 2,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.51 : 8,709.04 = 1,857.92 : x
  2. Step 2: Convert to fraction form
    5,807.51/8,709.04 = 1,857.92/x
  3. Step 3: Cross multiply
    5,807.51x = 8,709.04 × 1,857.92
  4. Step 4: Simplify right side
    5,807.51x = 16,180,749.33
  5. Step 5: Solve for x
    x = 16,180,749.33/5,807.51
  6. Step 6: Final answer
    x = 2,786.18

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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.