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Finding the Fourth Proportional to 3,735.40, 5,158.52 and 3,385.48

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Solution

The fourth proportional to 3,735.40, 5,158.52 and 3,385.48 is: 4,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.40 : 5,158.52 = 3,385.48 : x
  2. Step 2: Convert to fraction form
    3,735.40/5,158.52 = 3,385.48/x
  3. Step 3: Cross multiply
    3,735.40x = 5,158.52 × 3,385.48
  4. Step 4: Simplify right side
    3,735.40x = 17,464,066.29
  5. Step 5: Solve for x
    x = 17,464,066.29/3,735.40
  6. Step 6: Final answer
    x = 4,675.29

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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.