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Finding the Fourth Proportional to 5,674.09, 7,830.13 and 3,156.15

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Solution

The fourth proportional to 5,674.09, 7,830.13 and 3,156.15 is: 4,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.09 : 7,830.13 = 3,156.15 : x
  2. Step 2: Convert to fraction form
    5,674.09/7,830.13 = 3,156.15/x
  3. Step 3: Cross multiply
    5,674.09x = 7,830.13 × 3,156.15
  4. Step 4: Simplify right side
    5,674.09x = 24,713,027.55
  5. Step 5: Solve for x
    x = 24,713,027.55/5,674.09
  6. Step 6: Final answer
    x = 4,355.42

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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.