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Finding the Fourth Proportional to 5,206.55, 7,185.05 and 3,346.79

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Solution

The fourth proportional to 5,206.55, 7,185.05 and 3,346.79 is: 4,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.55 : 7,185.05 = 3,346.79 : x
  2. Step 2: Convert to fraction form
    5,206.55/7,185.05 = 3,346.79/x
  3. Step 3: Cross multiply
    5,206.55x = 7,185.05 × 3,346.79
  4. Step 4: Simplify right side
    5,206.55x = 24,046,800.83
  5. Step 5: Solve for x
    x = 24,046,800.83/5,206.55
  6. Step 6: Final answer
    x = 4,618.57

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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.