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Finding the Fourth Proportional to 4,206.53, 6,309.12 and 1,740.44

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Solution

The fourth proportional to 4,206.53, 6,309.12 and 1,740.44 is: 2,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.53 : 6,309.12 = 1,740.44 : x
  2. Step 2: Convert to fraction form
    4,206.53/6,309.12 = 1,740.44/x
  3. Step 3: Cross multiply
    4,206.53x = 6,309.12 × 1,740.44
  4. Step 4: Simplify right side
    4,206.53x = 10,980,644.81
  5. Step 5: Solve for x
    x = 10,980,644.81/4,206.53
  6. Step 6: Final answer
    x = 2,610.38

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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.