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Finding the Fourth Proportional to 5,645.94, 7,790.58 and 3,407.19

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Solution

The fourth proportional to 5,645.94, 7,790.58 and 3,407.19 is: 4,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.94 : 7,790.58 = 3,407.19 : x
  2. Step 2: Convert to fraction form
    5,645.94/7,790.58 = 3,407.19/x
  3. Step 3: Cross multiply
    5,645.94x = 7,790.58 × 3,407.19
  4. Step 4: Simplify right side
    5,645.94x = 26,543,986.27
  5. Step 5: Solve for x
    x = 26,543,986.27/5,645.94
  6. Step 6: Final answer
    x = 4,701.43

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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.