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Finding the Fourth Proportional to 4,194.74, 6,317.08 and 3,653.45

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Solution

The fourth proportional to 4,194.74, 6,317.08 and 3,653.45 is: 5,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.74 : 6,317.08 = 3,653.45 : x
  2. Step 2: Convert to fraction form
    4,194.74/6,317.08 = 3,653.45/x
  3. Step 3: Cross multiply
    4,194.74x = 6,317.08 × 3,653.45
  4. Step 4: Simplify right side
    4,194.74x = 23,079,149.29
  5. Step 5: Solve for x
    x = 23,079,149.29/4,194.74
  6. Step 6: Final answer
    x = 5,501.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.