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Finding the Fourth Proportional to 3,871.98, 5,809.59 and 1,682.55

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Solution

The fourth proportional to 3,871.98, 5,809.59 and 1,682.55 is: 2,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.98 : 5,809.59 = 1,682.55 : x
  2. Step 2: Convert to fraction form
    3,871.98/5,809.59 = 1,682.55/x
  3. Step 3: Cross multiply
    3,871.98x = 5,809.59 × 1,682.55
  4. Step 4: Simplify right side
    3,871.98x = 9,774,925.65
  5. Step 5: Solve for x
    x = 9,774,925.65/3,871.98
  6. Step 6: Final answer
    x = 2,524.53

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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.