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Finding the Fourth Proportional to 5,917.74, 8,165.02 and 3,617.55

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Solution

The fourth proportional to 5,917.74, 8,165.02 and 3,617.55 is: 4,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.74 : 8,165.02 = 3,617.55 : x
  2. Step 2: Convert to fraction form
    5,917.74/8,165.02 = 3,617.55/x
  3. Step 3: Cross multiply
    5,917.74x = 8,165.02 × 3,617.55
  4. Step 4: Simplify right side
    5,917.74x = 29,537,368.10
  5. Step 5: Solve for x
    x = 29,537,368.10/5,917.74
  6. Step 6: Final answer
    x = 4,991.33

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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.