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Finding the Fourth Proportional to 4,723.61, 7,085.27 and 1,213.47

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Solution

The fourth proportional to 4,723.61, 7,085.27 and 1,213.47 is: 1,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.61 : 7,085.27 = 1,213.47 : x
  2. Step 2: Convert to fraction form
    4,723.61/7,085.27 = 1,213.47/x
  3. Step 3: Cross multiply
    4,723.61x = 7,085.27 × 1,213.47
  4. Step 4: Simplify right side
    4,723.61x = 8,597,765.62
  5. Step 5: Solve for x
    x = 8,597,765.62/4,723.61
  6. Step 6: Final answer
    x = 1,820.17

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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.