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Finding the Fourth Proportional to 5,857.57, 8,085.18 and 4,089.75

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Solution

The fourth proportional to 5,857.57, 8,085.18 and 4,089.75 is: 5,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.57 : 8,085.18 = 4,089.75 : x
  2. Step 2: Convert to fraction form
    5,857.57/8,085.18 = 4,089.75/x
  3. Step 3: Cross multiply
    5,857.57x = 8,085.18 × 4,089.75
  4. Step 4: Simplify right side
    5,857.57x = 33,066,364.91
  5. Step 5: Solve for x
    x = 33,066,364.91/5,857.57
  6. Step 6: Final answer
    x = 5,645.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.