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Finding the Fourth Proportional to 5,807.35, 8,708.37 and 1,857.84

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Solution

The fourth proportional to 5,807.35, 8,708.37 and 1,857.84 is: 2,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.35 : 8,708.37 = 1,857.84 : x
  2. Step 2: Convert to fraction form
    5,807.35/8,708.37 = 1,857.84/x
  3. Step 3: Cross multiply
    5,807.35x = 8,708.37 × 1,857.84
  4. Step 4: Simplify right side
    5,807.35x = 16,178,758.12
  5. Step 5: Solve for x
    x = 16,178,758.12/5,807.35
  6. Step 6: Final answer
    x = 2,785.91

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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.