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Finding the Fourth Proportional to 4,173.66, 6,268.86 and 3,588.30

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Solution

The fourth proportional to 4,173.66, 6,268.86 and 3,588.30 is: 5,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.66 : 6,268.86 = 3,588.30 : x
  2. Step 2: Convert to fraction form
    4,173.66/6,268.86 = 3,588.30/x
  3. Step 3: Cross multiply
    4,173.66x = 6,268.86 × 3,588.30
  4. Step 4: Simplify right side
    4,173.66x = 22,494,550.34
  5. Step 5: Solve for x
    x = 22,494,550.34/4,173.66
  6. Step 6: Final answer
    x = 5,389.65

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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.