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Finding the Fourth Proportional to 5,215.88, 7,826.16 and 2,620.64

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Solution

The fourth proportional to 5,215.88, 7,826.16 and 2,620.64 is: 3,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.88 : 7,826.16 = 2,620.64 : x
  2. Step 2: Convert to fraction form
    5,215.88/7,826.16 = 2,620.64/x
  3. Step 3: Cross multiply
    5,215.88x = 7,826.16 × 2,620.64
  4. Step 4: Simplify right side
    5,215.88x = 20,509,547.94
  5. Step 5: Solve for x
    x = 20,509,547.94/5,215.88
  6. Step 6: Final answer
    x = 3,932.14

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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.