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Finding the Fourth Proportional to 3,507.80, 4,825.86 and 3,410.60

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Solution

The fourth proportional to 3,507.80, 4,825.86 and 3,410.60 is: 4,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.80 : 4,825.86 = 3,410.60 : x
  2. Step 2: Convert to fraction form
    3,507.80/4,825.86 = 3,410.60/x
  3. Step 3: Cross multiply
    3,507.80x = 4,825.86 × 3,410.60
  4. Step 4: Simplify right side
    3,507.80x = 16,459,078.12
  5. Step 5: Solve for x
    x = 16,459,078.12/3,507.80
  6. Step 6: Final answer
    x = 4,692.14

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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.