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Finding the Fourth Proportional to 3,784.62, 5,214.98 and 3,733.59

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Solution

The fourth proportional to 3,784.62, 5,214.98 and 3,733.59 is: 5,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.62 : 5,214.98 = 3,733.59 : x
  2. Step 2: Convert to fraction form
    3,784.62/5,214.98 = 3,733.59/x
  3. Step 3: Cross multiply
    3,784.62x = 5,214.98 × 3,733.59
  4. Step 4: Simplify right side
    3,784.62x = 19,470,597.18
  5. Step 5: Solve for x
    x = 19,470,597.18/3,784.62
  6. Step 6: Final answer
    x = 5,144.66

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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.