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Finding the Fourth Proportional to 3,977.84, 5,485.08 and 2,485.24

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Solution

The fourth proportional to 3,977.84, 5,485.08 and 2,485.24 is: 3,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.84 : 5,485.08 = 2,485.24 : x
  2. Step 2: Convert to fraction form
    3,977.84/5,485.08 = 2,485.24/x
  3. Step 3: Cross multiply
    3,977.84x = 5,485.08 × 2,485.24
  4. Step 4: Simplify right side
    3,977.84x = 13,631,740.22
  5. Step 5: Solve for x
    x = 13,631,740.22/3,977.84
  6. Step 6: Final answer
    x = 3,426.92

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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.