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Finding the Fourth Proportional to 4,260.84, 6,395.21 and 2,182.33

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Solution

The fourth proportional to 4,260.84, 6,395.21 and 2,182.33 is: 3,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260.84 : 6,395.21 = 2,182.33 : x
  2. Step 2: Convert to fraction form
    4,260.84/6,395.21 = 2,182.33/x
  3. Step 3: Cross multiply
    4,260.84x = 6,395.21 × 2,182.33
  4. Step 4: Simplify right side
    4,260.84x = 13,956,458.64
  5. Step 5: Solve for x
    x = 13,956,458.64/4,260.84
  6. Step 6: Final answer
    x = 3,275.52

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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.