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Finding the Fourth Proportional to 5,152.68, 7,723.08 and 3,206.16

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Solution

The fourth proportional to 5,152.68, 7,723.08 and 3,206.16 is: 4,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.68 : 7,723.08 = 3,206.16 : x
  2. Step 2: Convert to fraction form
    5,152.68/7,723.08 = 3,206.16/x
  3. Step 3: Cross multiply
    5,152.68x = 7,723.08 × 3,206.16
  4. Step 4: Simplify right side
    5,152.68x = 24,761,430.17
  5. Step 5: Solve for x
    x = 24,761,430.17/5,152.68
  6. Step 6: Final answer
    x = 4,805.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.