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Finding the Fourth Proportional to 4,114.45, 6,165.60 and 3,494.80

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Solution

The fourth proportional to 4,114.45, 6,165.60 and 3,494.80 is: 5,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.45 : 6,165.60 = 3,494.80 : x
  2. Step 2: Convert to fraction form
    4,114.45/6,165.60 = 3,494.80/x
  3. Step 3: Cross multiply
    4,114.45x = 6,165.60 × 3,494.80
  4. Step 4: Simplify right side
    4,114.45x = 21,547,538.88
  5. Step 5: Solve for x
    x = 21,547,538.88/4,114.45
  6. Step 6: Final answer
    x = 5,237.04

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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.