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Finding the Fourth Proportional to 4,260.88, 6,395.13 and 2,182.30

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Solution

The fourth proportional to 4,260.88, 6,395.13 and 2,182.30 is: 3,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260.88 : 6,395.13 = 2,182.30 : x
  2. Step 2: Convert to fraction form
    4,260.88/6,395.13 = 2,182.30/x
  3. Step 3: Cross multiply
    4,260.88x = 6,395.13 × 2,182.30
  4. Step 4: Simplify right side
    4,260.88x = 13,956,081.29
  5. Step 5: Solve for x
    x = 13,956,081.29/4,260.88
  6. Step 6: Final answer
    x = 3,275.40

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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.