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Finding the Fourth Proportional to 5,410.30, 8,106.65 and 4,891.90

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Solution

The fourth proportional to 5,410.30, 8,106.65 and 4,891.90 is: 7,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.30 : 8,106.65 = 4,891.90 : x
  2. Step 2: Convert to fraction form
    5,410.30/8,106.65 = 4,891.90/x
  3. Step 3: Cross multiply
    5,410.30x = 8,106.65 × 4,891.90
  4. Step 4: Simplify right side
    5,410.30x = 39,656,921.14
  5. Step 5: Solve for x
    x = 39,656,921.14/5,410.30
  6. Step 6: Final answer
    x = 7,329.89

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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.