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Finding the Fourth Proportional to 6,178.82, 8,526.74 and 3,384.32

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Solution

The fourth proportional to 6,178.82, 8,526.74 and 3,384.32 is: 4,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.82 : 8,526.74 = 3,384.32 : x
  2. Step 2: Convert to fraction form
    6,178.82/8,526.74 = 3,384.32/x
  3. Step 3: Cross multiply
    6,178.82x = 8,526.74 × 3,384.32
  4. Step 4: Simplify right side
    6,178.82x = 28,857,157.16
  5. Step 5: Solve for x
    x = 28,857,157.16/6,178.82
  6. Step 6: Final answer
    x = 4,670.34

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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.