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Finding the Fourth Proportional to 5,674.30, 7,830.50 and 3,156.27

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Solution

The fourth proportional to 5,674.30, 7,830.50 and 3,156.27 is: 4,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.30 : 7,830.50 = 3,156.27 : x
  2. Step 2: Convert to fraction form
    5,674.30/7,830.50 = 3,156.27/x
  3. Step 3: Cross multiply
    5,674.30x = 7,830.50 × 3,156.27
  4. Step 4: Simplify right side
    5,674.30x = 24,715,135.97
  5. Step 5: Solve for x
    x = 24,715,135.97/5,674.30
  6. Step 6: Final answer
    x = 4,355.62

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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.