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Finding the Fourth Proportional to 5,674.29, 7,830.36 and 3,156.36

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Solution

The fourth proportional to 5,674.29, 7,830.36 and 3,156.36 is: 4,355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.29 : 7,830.36 = 3,156.36 : x
  2. Step 2: Convert to fraction form
    5,674.29/7,830.36 = 3,156.36/x
  3. Step 3: Cross multiply
    5,674.29x = 7,830.36 × 3,156.36
  4. Step 4: Simplify right side
    5,674.29x = 24,715,435.09
  5. Step 5: Solve for x
    x = 24,715,435.09/5,674.29
  6. Step 6: Final answer
    x = 4,355.69

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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.