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Finding the Fourth Proportional to 5,473.56, 8,205.66 and 2,511

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Solution

The fourth proportional to 5,473.56, 8,205.66 and 2,511 is: 3,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.56 : 8,205.66 = 2,511 : x
  2. Step 2: Convert to fraction form
    5,473.56/8,205.66 = 2,511/x
  3. Step 3: Cross multiply
    5,473.56x = 8,205.66 × 2,511
  4. Step 4: Simplify right side
    5,473.56x = 20,604,412.26
  5. Step 5: Solve for x
    x = 20,604,412.26/5,473.56
  6. Step 6: Final answer
    x = 3,764.35

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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.