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Finding the Fourth Proportional to 3,885.55, 5,825.06 and 1,692.63

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Solution

The fourth proportional to 3,885.55, 5,825.06 and 1,692.63 is: 2,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.55 : 5,825.06 = 1,692.63 : x
  2. Step 2: Convert to fraction form
    3,885.55/5,825.06 = 1,692.63/x
  3. Step 3: Cross multiply
    3,885.55x = 5,825.06 × 1,692.63
  4. Step 4: Simplify right side
    3,885.55x = 9,859,678.71
  5. Step 5: Solve for x
    x = 9,859,678.71/3,885.55
  6. Step 6: Final answer
    x = 2,537.52

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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.