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Finding the Fourth Proportional to 4,196.81, 5,788.45 and 4,010.69

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Solution

The fourth proportional to 4,196.81, 5,788.45 and 4,010.69 is: 5,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.81 : 5,788.45 = 4,010.69 : x
  2. Step 2: Convert to fraction form
    4,196.81/5,788.45 = 4,010.69/x
  3. Step 3: Cross multiply
    4,196.81x = 5,788.45 × 4,010.69
  4. Step 4: Simplify right side
    4,196.81x = 23,215,678.53
  5. Step 5: Solve for x
    x = 23,215,678.53/4,196.81
  6. Step 6: Final answer
    x = 5,531.74

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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.