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Finding the Fourth Proportional to 4,865.84, 6,717.12 and 3,692.24

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Solution

The fourth proportional to 4,865.84, 6,717.12 and 3,692.24 is: 5,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.84 : 6,717.12 = 3,692.24 : x
  2. Step 2: Convert to fraction form
    4,865.84/6,717.12 = 3,692.24/x
  3. Step 3: Cross multiply
    4,865.84x = 6,717.12 × 3,692.24
  4. Step 4: Simplify right side
    4,865.84x = 24,801,219.15
  5. Step 5: Solve for x
    x = 24,801,219.15/4,865.84
  6. Step 6: Final answer
    x = 5,097.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.