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Finding the Fourth Proportional to 5,855.84, 8,783.70 and 1,473.20

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Solution

The fourth proportional to 5,855.84, 8,783.70 and 1,473.20 is: 2,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.84 : 8,783.70 = 1,473.20 : x
  2. Step 2: Convert to fraction form
    5,855.84/8,783.70 = 1,473.20/x
  3. Step 3: Cross multiply
    5,855.84x = 8,783.70 × 1,473.20
  4. Step 4: Simplify right side
    5,855.84x = 12,940,146.84
  5. Step 5: Solve for x
    x = 12,940,146.84/5,855.84
  6. Step 6: Final answer
    x = 2,209.78

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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.