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Finding the Fourth Proportional to 5,682.69, 7,835.25 and 4,739.85

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Solution

The fourth proportional to 5,682.69, 7,835.25 and 4,739.85 is: 6,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.69 : 7,835.25 = 4,739.85 : x
  2. Step 2: Convert to fraction form
    5,682.69/7,835.25 = 4,739.85/x
  3. Step 3: Cross multiply
    5,682.69x = 7,835.25 × 4,739.85
  4. Step 4: Simplify right side
    5,682.69x = 37,137,909.71
  5. Step 5: Solve for x
    x = 37,137,909.71/5,682.69
  6. Step 6: Final answer
    x = 6,535.27

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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.