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Finding the Fourth Proportional to 5,204.70, 7,806.15 and 1,917

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Solution

The fourth proportional to 5,204.70, 7,806.15 and 1,917 is: 2,875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.70 : 7,806.15 = 1,917 : x
  2. Step 2: Convert to fraction form
    5,204.70/7,806.15 = 1,917/x
  3. Step 3: Cross multiply
    5,204.70x = 7,806.15 × 1,917
  4. Step 4: Simplify right side
    5,204.70x = 14,964,389.55
  5. Step 5: Solve for x
    x = 14,964,389.55/5,204.70
  6. Step 6: Final answer
    x = 2,875.17

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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.