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Finding the Fourth Proportional to 5,682.71, 8,525.79 and 4,437.61

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Solution

The fourth proportional to 5,682.71, 8,525.79 and 4,437.61 is: 6,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.71 : 8,525.79 = 4,437.61 : x
  2. Step 2: Convert to fraction form
    5,682.71/8,525.79 = 4,437.61/x
  3. Step 3: Cross multiply
    5,682.71x = 8,525.79 × 4,437.61
  4. Step 4: Simplify right side
    5,682.71x = 37,834,109.65
  5. Step 5: Solve for x
    x = 37,834,109.65/5,682.71
  6. Step 6: Final answer
    x = 6,657.76

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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.