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Finding the Fourth Proportional to 4,077.69, 6,116.54 and 3,869.93

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Solution

The fourth proportional to 4,077.69, 6,116.54 and 3,869.93 is: 5,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.69 : 6,116.54 = 3,869.93 : x
  2. Step 2: Convert to fraction form
    4,077.69/6,116.54 = 3,869.93/x
  3. Step 3: Cross multiply
    4,077.69x = 6,116.54 × 3,869.93
  4. Step 4: Simplify right side
    4,077.69x = 23,670,531.71
  5. Step 5: Solve for x
    x = 23,670,531.71/4,077.69
  6. Step 6: Final answer
    x = 5,804.89

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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.