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Finding the Fourth Proportional to 5,859.96, 8,790 and 1,964.40

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Solution

The fourth proportional to 5,859.96, 8,790 and 1,964.40 is: 2,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.96 : 8,790 = 1,964.40 : x
  2. Step 2: Convert to fraction form
    5,859.96/8,790 = 1,964.40/x
  3. Step 3: Cross multiply
    5,859.96x = 8,790 × 1,964.40
  4. Step 4: Simplify right side
    5,859.96x = 17,267,076
  5. Step 5: Solve for x
    x = 17,267,076/5,859.96
  6. Step 6: Final answer
    x = 2,946.62

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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.