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Finding the Fourth Proportional to 4,861.23, 6,704.42 and 3,975.50

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Solution

The fourth proportional to 4,861.23, 6,704.42 and 3,975.50 is: 5,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.23 : 6,704.42 = 3,975.50 : x
  2. Step 2: Convert to fraction form
    4,861.23/6,704.42 = 3,975.50/x
  3. Step 3: Cross multiply
    4,861.23x = 6,704.42 × 3,975.50
  4. Step 4: Simplify right side
    4,861.23x = 26,653,368.31
  5. Step 5: Solve for x
    x = 26,653,368.31/4,861.23
  6. Step 6: Final answer
    x = 5,482.84

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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.