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Finding the Fourth Proportional to 4,692.53, 6,477.17 and 3,632.45

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Solution

The fourth proportional to 4,692.53, 6,477.17 and 3,632.45 is: 5,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.53 : 6,477.17 = 3,632.45 : x
  2. Step 2: Convert to fraction form
    4,692.53/6,477.17 = 3,632.45/x
  3. Step 3: Cross multiply
    4,692.53x = 6,477.17 × 3,632.45
  4. Step 4: Simplify right side
    4,692.53x = 23,527,945.62
  5. Step 5: Solve for x
    x = 23,527,945.62/4,692.53
  6. Step 6: Final answer
    x = 5,013.91

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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.