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Finding the Fourth Proportional to 5,697.02, 7,861.10 and 3,178.84

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Solution

The fourth proportional to 5,697.02, 7,861.10 and 3,178.84 is: 4,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.02 : 7,861.10 = 3,178.84 : x
  2. Step 2: Convert to fraction form
    5,697.02/7,861.10 = 3,178.84/x
  3. Step 3: Cross multiply
    5,697.02x = 7,861.10 × 3,178.84
  4. Step 4: Simplify right side
    5,697.02x = 24,989,179.12
  5. Step 5: Solve for x
    x = 24,989,179.12/5,697.02
  6. Step 6: Final answer
    x = 4,386.36

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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.