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Finding the Fourth Proportional to 4,651.70, 6,965.12 and 3,913.58

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Solution

The fourth proportional to 4,651.70, 6,965.12 and 3,913.58 is: 5,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.70 : 6,965.12 = 3,913.58 : x
  2. Step 2: Convert to fraction form
    4,651.70/6,965.12 = 3,913.58/x
  3. Step 3: Cross multiply
    4,651.70x = 6,965.12 × 3,913.58
  4. Step 4: Simplify right side
    4,651.70x = 27,258,581.53
  5. Step 5: Solve for x
    x = 27,258,581.53/4,651.70
  6. Step 6: Final answer
    x = 5,859.92

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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.