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Finding the Fourth Proportional to 5,752.82, 8,630.58 and 1,857.08

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Solution

The fourth proportional to 5,752.82, 8,630.58 and 1,857.08 is: 2,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.82 : 8,630.58 = 1,857.08 : x
  2. Step 2: Convert to fraction form
    5,752.82/8,630.58 = 1,857.08/x
  3. Step 3: Cross multiply
    5,752.82x = 8,630.58 × 1,857.08
  4. Step 4: Simplify right side
    5,752.82x = 16,027,677.51
  5. Step 5: Solve for x
    x = 16,027,677.51/5,752.82
  6. Step 6: Final answer
    x = 2,786.06

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