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Finding the Fourth Proportional to 5,288.88, 7,933.32 and 1,826.40

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Solution

The fourth proportional to 5,288.88, 7,933.32 and 1,826.40 is: 2,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.88 : 7,933.32 = 1,826.40 : x
  2. Step 2: Convert to fraction form
    5,288.88/7,933.32 = 1,826.40/x
  3. Step 3: Cross multiply
    5,288.88x = 7,933.32 × 1,826.40
  4. Step 4: Simplify right side
    5,288.88x = 14,489,415.65
  5. Step 5: Solve for x
    x = 14,489,415.65/5,288.88
  6. Step 6: Final answer
    x = 2,739.60

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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.