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Finding the Fourth Proportional to 3,912.85, 5,397.93 and 3,465.18

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Solution

The fourth proportional to 3,912.85, 5,397.93 and 3,465.18 is: 4,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.85 : 5,397.93 = 3,465.18 : x
  2. Step 2: Convert to fraction form
    3,912.85/5,397.93 = 3,465.18/x
  3. Step 3: Cross multiply
    3,912.85x = 5,397.93 × 3,465.18
  4. Step 4: Simplify right side
    3,912.85x = 18,704,799.08
  5. Step 5: Solve for x
    x = 18,704,799.08/3,912.85
  6. Step 6: Final answer
    x = 4,780.35

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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.