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Finding the Fourth Proportional to 5,699.43, 7,862.94 and 3,711.69

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Solution

The fourth proportional to 5,699.43, 7,862.94 and 3,711.69 is: 5,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.43 : 7,862.94 = 3,711.69 : x
  2. Step 2: Convert to fraction form
    5,699.43/7,862.94 = 3,711.69/x
  3. Step 3: Cross multiply
    5,699.43x = 7,862.94 × 3,711.69
  4. Step 4: Simplify right side
    5,699.43x = 29,184,795.77
  5. Step 5: Solve for x
    x = 29,184,795.77/5,699.43
  6. Step 6: Final answer
    x = 5,120.65

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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.