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Finding the Fourth Proportional to 4,363.96, 6,017.26 and 3,314.20

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Solution

The fourth proportional to 4,363.96, 6,017.26 and 3,314.20 is: 4,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.96 : 6,017.26 = 3,314.20 : x
  2. Step 2: Convert to fraction form
    4,363.96/6,017.26 = 3,314.20/x
  3. Step 3: Cross multiply
    4,363.96x = 6,017.26 × 3,314.20
  4. Step 4: Simplify right side
    4,363.96x = 19,942,403.09
  5. Step 5: Solve for x
    x = 19,942,403.09/4,363.96
  6. Step 6: Final answer
    x = 4,569.80

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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.