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Finding the Fourth Proportional to 4,321.71, 6,482.57 and 2,011.59

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Solution

The fourth proportional to 4,321.71, 6,482.57 and 2,011.59 is: 3,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.71 : 6,482.57 = 2,011.59 : x
  2. Step 2: Convert to fraction form
    4,321.71/6,482.57 = 2,011.59/x
  3. Step 3: Cross multiply
    4,321.71x = 6,482.57 × 2,011.59
  4. Step 4: Simplify right side
    4,321.71x = 13,040,262.93
  5. Step 5: Solve for x
    x = 13,040,262.93/4,321.71
  6. Step 6: Final answer
    x = 3,017.39

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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.