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Finding the Fourth Proportional to 5,208.62, 7,186.47 and 3,346.70

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Solution

The fourth proportional to 5,208.62, 7,186.47 and 3,346.70 is: 4,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.62 : 7,186.47 = 3,346.70 : x
  2. Step 2: Convert to fraction form
    5,208.62/7,186.47 = 3,346.70/x
  3. Step 3: Cross multiply
    5,208.62x = 7,186.47 × 3,346.70
  4. Step 4: Simplify right side
    5,208.62x = 24,050,959.15
  5. Step 5: Solve for x
    x = 24,050,959.15/5,208.62
  6. Step 6: Final answer
    x = 4,617.53

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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.