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Finding the Fourth Proportional to 6,178.69, 8,527.21 and 3,526.50

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Solution

The fourth proportional to 6,178.69, 8,527.21 and 3,526.50 is: 4,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.69 : 8,527.21 = 3,526.50 : x
  2. Step 2: Convert to fraction form
    6,178.69/8,527.21 = 3,526.50/x
  3. Step 3: Cross multiply
    6,178.69x = 8,527.21 × 3,526.50
  4. Step 4: Simplify right side
    6,178.69x = 30,071,188.43
  5. Step 5: Solve for x
    x = 30,071,188.43/6,178.69
  6. Step 6: Final answer
    x = 4,866.92

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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.