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Finding the Fourth Proportional to 3,688.53, 5,536.74 and 2,046.47

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Solution

The fourth proportional to 3,688.53, 5,536.74 and 2,046.47 is: 3,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.53 : 5,536.74 = 2,046.47 : x
  2. Step 2: Convert to fraction form
    3,688.53/5,536.74 = 2,046.47/x
  3. Step 3: Cross multiply
    3,688.53x = 5,536.74 × 2,046.47
  4. Step 4: Simplify right side
    3,688.53x = 11,330,744.62
  5. Step 5: Solve for x
    x = 11,330,744.62/3,688.53
  6. Step 6: Final answer
    x = 3,071.89

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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.