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Finding the Fourth Proportional to 5,477.82, 8,215.96 and 1,780.10

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Solution

The fourth proportional to 5,477.82, 8,215.96 and 1,780.10 is: 2,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.82 : 8,215.96 = 1,780.10 : x
  2. Step 2: Convert to fraction form
    5,477.82/8,215.96 = 1,780.10/x
  3. Step 3: Cross multiply
    5,477.82x = 8,215.96 × 1,780.10
  4. Step 4: Simplify right side
    5,477.82x = 14,625,230.40
  5. Step 5: Solve for x
    x = 14,625,230.40/5,477.82
  6. Step 6: Final answer
    x = 2,669.90

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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.