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Finding the Fourth Proportional to 5,783.84, 8,692.77 and 4,802.96

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Solution

The fourth proportional to 5,783.84, 8,692.77 and 4,802.96 is: 7,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.84 : 8,692.77 = 4,802.96 : x
  2. Step 2: Convert to fraction form
    5,783.84/8,692.77 = 4,802.96/x
  3. Step 3: Cross multiply
    5,783.84x = 8,692.77 × 4,802.96
  4. Step 4: Simplify right side
    5,783.84x = 41,750,983.14
  5. Step 5: Solve for x
    x = 41,750,983.14/5,783.84
  6. Step 6: Final answer
    x = 7,218.56

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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.